In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC

Answers

Answer 1

The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]

Since, BH is the altitude [tex]\angle MHC= 90[/tex].

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].

Consider triangle ABC:

Using sum of triangles, we have:

[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]

Hence the measure of angles of triangle ABC is 60 degrees.

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Related Questions

Helppppppp

Write the expression as a unit rate.

Joyce painted 8 window frames in 5 hours while earning money for college.

What was her painting rate in window frames per hour?

What was her painting rate in hours per window frame?

Answers

Her painting rate in window frames per hour will be;

⇒ 1.6 frames per hour

Her painting rate in hours per window frame will be;

⇒ 0.25 hours per window frame

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Joyce painted 8 window frames in 5 hours while earning money for college.

Here, Joyce painted 8 window frames in 5 hours while earning money for college.

Hence, Her painting rate in window frames per hour is,

⇒ 8/5

⇒ 1.6 frames per hour

And, Her painting rate in hours per window frame is,

⇒ 5/8

⇒ 0.25 hours per window frame

Thus, Her painting rate in window frames per hour = 1.6 frames per hour

Her painting rate in hours per window frame = 0.25 hours per window frame

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How do you find the coordinates of a point example?

Answers

To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.

A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.

To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.

An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).

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1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12

Answers

Answer:

2, cause it shows a different function or pattern

Fine the Value of x?

Answers

Gshahehahgwgahaahajajka

which statement describes rate of change of the following function? F( x)=3X -7

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
7
7
units
Vertical stretch

Which choice is equivalent to the quotient shown here for acceptable
values of x?
√12(x-1)+√√2(x-1)²

Answers

For acceptable x values of √12(x-1)+√√2(x-1)², the option is equivalent to the quotient given here (x-1) ² is [tex]$2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex] .

How do you find the quotient of a set?

The equivalent of the quotient displayed above for allowable x values is

[tex]$\sqrt{1} \cdot 2(x-1)+\sqrt{\sqrt{2}}(x-1)^2$[/tex]

[tex]$2(x-1)+\sqrt[2 \cdot 2]{2}(x-1)^2$\\[/tex]

[tex]\$2(x-1)+\sqrt[4]{2}(x-1)^2$\\$(2 x-2)+\sqrt[4]{2}\left(x^2+2 x(-1)+(-1)^2\right)$\\$(2 x-2)+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x-2+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x+\sqrt[4]{2}\left(x^2-2 x+1\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-\sqrt[4]{2} \cdot 2 x+\sqrt[4]{2}\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}\right)-2$\\$2 x+\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}-2$[/tex]

[tex]$f(x)=\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]

[tex]$\frac{d}{d x}\left(\sqrt{12(x-1)}-\sqrt{2(x-1)^2}\right)$[/tex]

[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$[/tex]

[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]

[tex]$\sqrt{12(x-1)}=2 \sqrt{3} \sqrt{x-1}$[/tex]

[tex]$\sqrt{2(x-1)^2}=\sqrt{2}(x-1)$\\$=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex]

Values that might result in a fraction's denominator being equal to zero are excluded. Finding these omitted values is crucial for resolving a rational statement because you cannot divide by 0.

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At SaveRite, a 4-ounce carton of juice costs $0.85 and a 16-ounce carton costs $2.70. Which size carton would you buy to pay the least amount per ounce?

Answers

Answer:

16-ounce carton

Step-by-step explanation:

you divide by the cost by the amount of ounces per cent and when buying the  4 ounce one is 21 cents per ounce while the 16 ounce one is 16 cents per ounce

Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking. ​

Answers

Answer:

He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.

find the median and mean of the data set below: 29,8,11,29,29,6,49

Answers

29 i think sorry if i am wrong

Callie drew the map below to show her neighborhood. If each unit in the coordinate plane represents 1.5 miles, how many miles is it from the school to the grocery store?

Answers

I’m so sorry but I need to answer 2 questions to be able to ask mine again I apologize

What is the value of log2 base 2?

Answers

the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

How do you find the value of log base 2?

Properties of Log Base 2

Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.

Use the change-of-base formula:

since we know that natural log and log with base 10 are different

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:

Hence ,  the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

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The triangle below has an area of 10 units squared.

Answers

Answer:

x = 5 units

Step-by-step explanation:

area = 1/2bh

10 = 1/2(x)4)

2x = 10

x = 5

Answer:

The value of x (which is also the height of this triangle) is x = 5 units.

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 10 units² = (1/2)(4 units)(x).

Multiplying both sides by 2 yields    20 units² = (4units)(x), and thus  20 units²

what is the fraction and the percentage of o.5​

Answers

Answer:

Fraction: 1/2

Precentage: 50%

Step-by-step explanation:

At Downtown Dogs, 10 of the last 15 customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Write your answer as a fraction or whole number.​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

its on ixl

Gina is shopping for a new bicycle. The price of the bicycle that she likes is $300 and there is an 8% sales tax. What is the total price of the bicycle including sales tax?

Answers

Answer:

$324

Step-by-step explanation:

(1.08)(300) = 324

Answer:

The total price of the bicycle including sales tax is $324.

Explanation:

The price of a bicycle = $300

Rate of sales tax = 8%

Amount of tax = 8% x 300

                     = [tex]\frac{8}{100}[/tex] x 300

                     = 8 x 3

                      = 24

Cost of bicycle including tax= Price of cycle + Amount of tax = 300+24=324  

= $324

Please Answer.\
I am in so much tension already

Answers

Answer:

1:B

2:B

3:C

Step-by-step explanation:

HOPE IT'LL HELP :)

If the original recipe made 14 pancake and the cafeteria plan to charge $. 50 per pancake, how much money will they make if they ell all of the pancake made for the 75 people?

Answers

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it.

Define ratio and proportion.

Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

If the cafeteria sells all of the pancakes made for 75 people, and the original recipe makes 14 pancakes, they would need to make 1475 = 1050 pancakes.

If they charge $0.50 per pancake and they sell all 1050 pancakes, they would make 1050$0.50 = $525.

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

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Fraction is equivalent




3
_
21

Answers

[tex]\huge\text{Hey there!}\\\\\\\mathsf{\dfrac{3}{21}}\\\\\mathsf{= \dfrac{3\div3}{21\div3}}\\\\\mathsf{= \dfrac{1}{7}}\\\\\huge\text{Therefore, your\ answer\ should\ be: \huge\boxed{\mathsf{\dfrac{1}{7}}}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Mark is buying a game from an online store. He has not heard of the store or the online payment service before, but the price is very good. Is Mark at risk buying the game online at this store? Why? Select the best answer from the choices provided. A. No, because online transactions are more secure than cash payments. B. Yes, because online transactions are less secure than payments by check. C. No, because liability is limited to $50 with online payment services. D. Yes, because the online payment service is unknown to him.

Answers

It could be B but I want to say D because it relates more to the question.

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
A. 400
B. 900
C. 1300
D. 1600
E. 2100

Answers

I need this answer to b or d 400


Sorry I’m not very good with this type of math.

Find the mean of this set of data: 45, 177, 153, 162, 43, 33, 6, 78, 122

Answers

Answer:

91

Step-by-step explanation:

Answer:

so to find the mean, add all the numbers

(ie from 45 to 122) then divide the answer by the number of number you have ( ie count from 45 to 122 which is nine numbers in total)

so your presentation will look like

819/9

which is = 91

find the volume of this triangular prism.

Answers

The volume of the triangular prism is 120 cm cube.

How to find the volume of a triangular prism?

A triangular prism  is a three-sided prism.  The volume of a triangular prism can be represented as follows:

volume of a triangular prism = 1 / 2 bhl

where

b = base of the triangular faceh = height of the triangular facel = height of the triangular prism

Therefore,

b = 10 cm

h = 12 cm

l = 6 cm

Therefore,

volume of a triangular prism = 1 / 2 × 10 × 12 × 6

volume of a triangular prism = 1 / 2 × 120 × 6

volume of a triangular prism = 60 × 6

volume of a triangular prism = 120 cm³

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David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour,
but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15
miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles
is the airport from his home?
(A) 140 (B) 175 (C) 210 (D) 245 (E) 280

Answers

If David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. The number of miles that is the airport from his home is 210.

How to find the distance?

Let d represent the distance that is needed to travel 1 hour

1 hour late decreased to 0.5 hours early = 1.5

Hence,

d/50 + 1.5 = d/35

Simplify

7d + 525 =10d

Collect like terms

525 = 10d - 7d

525 = 3d

Divide both side by 3d

d = 525/3

d = 175

Total number of miles :

Total number of miles = 175 + 35

Total number of miles = 210

Therefore we can conclude that the correct option is C.

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Find the minimal and maximum value of the function y=7 cos x

Answers

Answer:

The minimum and maximum cannot be determined because this is not a quadratic function.

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.


Find the value of x then classify the triangle.

Answers

Answer:

x= 35⁰ - obtuse triangle

Step-by-step explanation:

since the sum of angles of the triangle = 180⁰

(3x-5) + (x+10) + (x) =180⁰

5x+5= 180

(subtracting 5 from both sides)

5x=180-5

5x= 175

(dividing by 5)

x= 35⁰

so the angles of the triangle are

(3x-5) = 105-5= 100⁰

(x+10) = 45⁰

(x) = 35⁰

then this triangle is an obtuse triangle

click on photo! help!

Answers

Answer:

The answer is D) 5, the number of eggs on the charts never exceeds that number.

D is the answer for it

Kadeesha has a smart phone data plan that costs $45 per month that includes 10 GB of data, but will charge an extra $25 per GB over the included amount. How much would Kadeesha have to pay in a month where she used 4 GB over the limit? How much would Kadeesha have to pay in a month where she used went over by xx GB?

Answers

Answer:

1. $145

2. 45+25x=total $

Step-by-step explanation:

45+(25•4)=145

Step-by-step explanation:

Given:

10 GB included with plan

$45 per month

$25 per GB over the amount of 10

Need to find out:

How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?

Let's solve the first problem:

10 GB included + 4 GB (over) =14 total GB

$45=10GB. $25×4= 4 GB over.

$45+$100=$145

Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.

Now, let's solve the next problem:

So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table

$45 ------> 10GB

$70 -----> 11 GB

$95 ----> 12 GB

$120 ---> 13 GB

$145 ---> 14 GB

$170 ---> 15 GB

and so on....

but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.

if something is unclear, or seems wrong just let me know!

I hope this helps:)

Bridget says that when a standard number cube is rolled getting an even number is an outcome. Uma says that getting an even number is an event. Who is correct? Explain

Answers

Uma is correct, because getting an even number is an event.

What is Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Bridget says that when a standard number cube is rolled getting an even number is an outcome.

And, Uma says that getting an even number is an event.

Now,

We know that;

When a standard number cube is rolled then getting an even number is an event.

Hence, Uma statement is correct.

Thus, Uma is correct, because getting an even number is an event.

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PLEASE HELP ME IM TIMED WILL MARK BRAINLIEST NO LINKS

Answers

Answer:

27.83 dollars

Step-by-step explanation:

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

A)
h/j=k/i

B)
j/h=j/k

C)
k/j=i/j

D)
h/k=k/i

Answers

Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

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