Find each lettered angle measure A through H

(20 points)

Find Each Lettered Angle Measure A Through H (20 Points)

Answers

Answer 1

The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.

Angles in a triangle

The sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle

2a = 180 - 58(base angles of isosceles triangle)

a = 122 / 2

a = 61°

b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)

c = 130° (Known angles)

d = 180 - 33 - 88 = 59°(sum of angles in a triangle)

e = 180 - 69 = 111° (external triangle theroem)

f = 86° (vertically opposite angles)

g = 83° (vertically opposite angles)

h = 180 - 36 = 144° (sum of angles on a straight line)

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Related Questions

PLEASE HELP VERY URGENT

Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.

The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.

A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2

(if u have trouble reading the text look at the attached photo for the question)

Answers

Answer:

A. square root of a^2 + b^2 for both answers

Step-by-step explanation:

The first problem, we are given

a^2 + b^2 = c^2

What we do is solve for c.

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

For problem 2,

WE can apply the Pythagorean theorem because we have a right triangle.

The equations is

a^2 + b^2 = c^2 like the first problem

Solving gets us

sqrt(a^2 + b^2) = c

c = sqrt(a^2 + b^2)

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles?

100 points and brainliest to answer

Answers

Answer:

8

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Given:

number of convertibles = 4total number of vehicles = 30 + 4 = 34

[tex]\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}[/tex]

To find the expected number of convertibles from the first 68 vehicles:

[tex]\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}[/tex]

Answer:

30 other vehicles + 4 convertibles = 34 cars

34 * 2 = 68

30 * 2 other vehicles + 4 * 2 convertibles = 68 cars

60 other vehicles and 8 convertibles

hope it helps you

Q1- Tommy pays $22.50 for 2.6 pounds of salmon. What is the price per pound of salmon?

Q2- The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

Q3- 1/2 of a pizza cost $9.50. How much would it cost for one whole pizza?

Q4-The cost of 1/4 cup of ice cream is $3.00. How much would it cost for one whole cup?

Answers

Q3 the answer is 19.00/ explanation: just add 9.50 twice or multiply times 2

Barbara got a flat tire and does not have a spare. she needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. she borrows $75 and plans to pay it back when she gets paid in 8 days. barbara is charged a fee of $15 and the term on her loan is 8 days. approximately what is the annual percentage rate on her loan? a. 228% b. 487% c. 913% d. 973%

Answers

The annual percentage rate of the loan is approximately 913%. option c is correct.

What is the annual percentage?

The yearly interest earned by an amount charged to borrowers or paid to investors is referred to as the annual percentage rate.

APR is a percentage that indicates the real annual cost of money for a loan or investment over the period of the loan.

The amount borrowed =  $75

no of days =8 days

Fees charged = $15

The annual percentage is found as;

[tex]\rm r = \frac{final \ value}{initial \ value } -1 \\\ \rm r = \frac{f 90}{75 } -1 \\\\ r=0.20 \\\\[/tex]

If the rate of interest is  20% then the annually the rate is obtained as;

[tex]\rm r_{annual}= \frac{0.20}{8 \ days} \times \frac{365}{1 \ year} \\\\ \rm r_{annual}=913 /year[/tex]

Hence the annual percentage rate of the loan is approximately 913%. option c is correct.

To learn more about the annual percentage refer to the link;

https://brainly.com/question/17613825

Answer:

C

Step-by-step explanation:

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire.  She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

a.

228%

b.

487%

c.

913%

d.

973%

C

y + 6 = 5(x – 4)
Write a formula fpr f(x) in terms of x.

Answers

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answers

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

Change a speed of 630 kilometres per hour to a speed in metres per second. Show your working

Answers

Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

Please help I need to pass this class

Answers

Answer:

Shown Below...

Step-by-step explanation:

6) 5.25% will be 5.25/100 = 0.0525
0.0525 x $333.75 = $17.5 (rounded)
$333.75 + $17.5= $351.25

7) 15% will be 15/100 = 0.15
0.15 x $16 = $2.4
$16 + $2.4 = $18.4

8) 20% will be 20/100 = 0.2
0.2 x $2800 = $560
Since it is off the original price, this will be subtraction.
$2800 - $560 = $2240 will be the sales price.
----------
8.25% will be 8.25/100 = 0.0825
0.0825 x $2240 = $184.8
$2240 + $184.8 = $2424.8 will be the total price including tax.


HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1) x=−y-2

2)x=−y+2

Step-by-step explanation:

Let's solve for x.

y=−x−2

Step 1: Flip the equation.

−x−2=y

Step 2: Add 2 to both sides.

−x−2+2=y+2

−x=y+2

Step 3: Divide both sides by -1.

x=−y−2

Let's solve for x.

3x+3y=6

Step 1: Add -3y to both sides.

3x+3y+−3y=6+−3y

3x=−3y+6

Step 2: Divide both sides by 3.

x=−y+2

please help with this math question sceenshot below

Answers

Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

which represents the exspession 3 fewer than p

Answers

Answer:

p-3

Step-by-step explanation:

Let me show you how to answer this question correctly.

A variable is P. Letters are represented as numbers by variables.

If you have fewer than that, you must subtract.

Therefore, the expression is p-3, which is our answer.

I hope this helps! Let me know if you have any questions.

Answer:

[tex]p - 3[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

3 fewer than p

This means that given a variable named p, we have 3 less than that so it can be simply displayed by p - 3.

Answer:  [tex]p - 3[/tex]

Which expression represents the surface area of the pyramid?

Answers

Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you

Using ε − δ definition of a limit, show that limx→2
x+1
x =
3
2

Answers

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

ε − δ definition of a limit?

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

Find out more on ε − δ limit at: https://brainly.com/question/17603639

What is the volume of the right triangular prism shown below?

V = Bh

b = 1/2bh

Answers

Answer:

165

Step-by-step explanation:

V=BH

B=[tex]\frac{1}{2\\}[/tex]BH

V=([tex]\frac{1}{2}[/tex] x 5 x 6) x 11

V= ([tex]\frac{30}{2}[/tex]) x 11

V= 15 x 11

V= 165 f[tex]t^{2}[/tex]

Koro - Sensei has 8 more students in his class than Ms.Fizzle. They have a total of 32 students together. Calculate the number of students in Koro - Sensei's class

Answers

Answer:

Koro-Sensei's class has 20 kids in it.

Step-by-step explanation:

This is simple.

Ex: 20-12 = 32

What is the discriminant of the quadratic equation 7x2 – 9x – 9=0?


A)171

B)333

C)-333

D)-171

Answers

Answer B
I hope that I helped ;D

Answer:

B) 333.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0

is b^2 - 4ac

So here we have:

(-9)^2 - 4*7*-9

= 81 + 252

= 333.

help me find the surface area of this shape please

Answers

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

Simplyfy the following fraction: 50/75

Answers

Answer: 2/3

Step-by-step explanation: 50/75

25 can go into both.

50 divided by 25 = 2

75 divided by 25 = 3

How many minutes does it take arnob to catch up to kathleen? 9.8 10 73.5 75

Answers

Answer:

so the anwer is d 75

75

D

.......

Answer:

75

Step-by-step explanation:

i got it right

Riley drank 8/10 quart of iced tea and her friend drank 0.3 quart. How much more of a quart of iced tea did Riley drink than her friend?

Answers

Riley drank 1/2 more of a quart of iced tea than her friend.




Explanation:

0.3 as a fraction is 3/10. So Riley’s friend drank 3/10 of a quart of iced tea.

Riley drank 8/10’s of a quart so let’s set up an equation.


8/10 - 3/10


Solve.


= 5/10, which can be simplified to 1/2.



Hope this helps!

Answer:

1/2

Step-by-step explanation:

0.3 can be converted into 3/10. TO find out how much more of a quart of iced tea that Riley drank than her friend, we have to subtract the amount of iced tea that her friend drank from the amount that Riley drank.

8/10 - 3/10 = 5/10

Now, we have the opportunity to simplify the fraction. 5/10 is the same as 1/2. Therefore, Riley drank 5/10, or 1/2, more than her friend. I hope this helps! Have a lovely day!! :)

HII can someone plss help me with this question. I got 192 but i dont know how to turn it into a base with an exponent. ----> b^e

Answers

= 1 × 3 × 4 × 4 × 4

= 1 × 3 × 64

= 3 × 64

= 192

Easy peasy...

How do you create a rectangular prism with a volume of 315 cubic inches?

Answers

A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively

How to form a rectangular prism with the given volume

Volume of a rectangular prism = lwh

where

h = heightw = widthl = length

Therefore,

volume of the rectangular prism = lwh

315 = lwh

315 = 9 × 7 × 5

Therefore, a  rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.

learn more on rectangular prism here: https://brainly.com/question/16043272

#SPJ1

how do you do this???

Answers

Answer:

A = 15 units²

Step-by-step explanation:

Count the squares:

AB (height) = 6 units

CB (base) = 5 units

A = bh/2

A = (5)(6)/2

A = 30/2

A = 15 units²

I hope this helps!

Hi I think the answer is 15 units



Give the appropriate theorem or postulate that can
be used to prove the triangles similar:

A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate

Answers

Answer:

The right answer is A. AA Postulate

What is the surface area of the right cone below?

A. 3047 units-
B. 4967 units?
C. 1841 units-
D. 248 units

Answers

Answer:

184π units²

Step-by-step explanation:

see attached for reference

given sloped height = 15 units

base radius = 8 units

the height of the cone can be found by using the Pythagorean equation

(sloped height)² = height ² + (base radius)²

15² = h² + 8²

h² = 15²-8² = 161

h = √161

Base surface area = πr² = π 8² = 64π units²

Lateral Surface Area,

= πr √(r² + h²)

= π(8) √[  (8)²  + (√161)²  ]

= 8π√(64 + 161)

= 8π√225

= 8π (15)

= 120π

Surface area = base area + lateral surface area

= 64π + 120π

= 184π units²

Answer:

C. 184π units²

Step-by-step explanation:

Surface Area of a cone : πrl + πr² = πr(l + r)

r = radiusl = slant height

Solving

SA = π x 8 (15 + 8)SA = π x 8 x 23SA = 184π units²

Wendell is building a doghouse using these pieces of wood:

The pieces of wood to build a doghouse with the highest point to the lowest point of 28 inches.

Each length with one mark (I) is 36 inches. Each length with two marks (II) is 18 inches. Each length with three marks (III) is 30 inches. Each end has a height (from the highest point to the lowest point) of 28 inches.

The doghouse will have the shape shown once it is built.

The shape of the doghouse.
Part A
If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?

Answers

If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

What is a solid figure?

A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.

The shape represented by the doghouse would be a pentagonal prism. If Wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, the shape of the slice would be a pentagon.

Find out more on solid figure at: https://brainly.com/question/8774322

What is the mean?
557544

Answers

Answer:

5

Step-by-step explanation:

mean = average

5 + 5 + 7 + 5 + 4 + 4 = 30

30/6 = 5

Quest

answe

Ms. Miller's English class kept track of how many books they read last school year.

Books read

13

41

24

97

67

103 75 120

27

53

39

108 49

111

84

44

20

Time

elapse

Which box plot represents the data?

00 12

HR MIN

Books read

SmartSc

out of 100

63

20

40

60

80

100

120

Books read

20

40

60

80

100

120

Answers

Answer:

cde

Step-by-step explanation:

thx everyone hahahhahaahha

someone please help find the perimeter

Answers

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

write 1.257 multiply by 10 to the power of 5​

Answers

Answer:

1.257*10^5

Step-by-step explanation:

10 to the power of 5 : [tex]10^{5}[/tex]

1.257 multiply by 10 to the power of 5 : [tex]1.257[/tex] x [tex]10^{5}[/tex]


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