Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help

Answers

Answer 1

[tex]z = 29°[/tex]

Step-by-step explanation:

According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is

[tex]43 + 59 + x = 180[/tex]

[tex]\Rightarrow x = 78°[/tex]

But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that

[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]

Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get

[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]

Solving for z, we finally get

[tex]z = 29°[/tex]

Related Questions

The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)

Answers

Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

A similar problem is given at https://brainly.com/question/25606713

Jasmine ran 5 miles in 42 minutes

Answers

Answer:

5 divided by 42 is 0.11 repeating

Step-by-step explanation:

Can someone explain it step by step ?

Answers

Answer:

1. (x - 1) × (x + 3)

2. x = 3 and y = -2

Step-by-step explanation:

x² + 2x - 32x + 3y = 0; y = 3x - 11

rewrite the equation:

y = 3x - 11; 2x + 3y = 0

solve y = 3x - 11 for the y:

y = 3x - 11

substitute 3x - 11 for y in 2x + 3y = 0;

2x + 3y = 0;

2x + 3y = 0

2x + 3 (3x - 11) = 0

11x - 33 = 0 (simplify both sides of the equation)

11x - 33 + 33 = 0 + 33 (add 33 to both sides)

11x = 33

11x/11 = 33/11 (divide both sides by 11)

x = 3

subtitute 3 for x in y = 3x - 11

y = 3x - 11

y = (3)×(3) - 11

y = -2

I showed one equation because the other is self explanatory, hope this helps.

What is the lcm of 24, 18, and 6

Answers

we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3

so LCM of 24, 18, 6 is 2^3 x 3^2 = 72

ok done. Thank to me :>

Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5

Answers

Answer:

Step-by-step explanation:

Assuming we're rolling a cube die with 6 sides.

Odds for rolling any of 1, 4, 3, or 5 has four possible successes

4/6 = 2/3

Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6

2/6 = 1/3

4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)

Answers

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

which equation is the inverse of y=7x^2-10

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?

Answers

Answer:

80 dollars is the correct answer

Answer:

Step-by-step explanation:

1050=1000(1+.5*i)

i= 10%

I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)

Answers

9514 1404 393

Answer:

yes

Step-by-step explanation:

There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...

(20×19×18)/(3×2×1) = 1,140

There are easily enough different combinations of 3 students to have a different combination each day.

_____

Additional comment

The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...

nCk = n!/(k!(n-k)!)

6/4 on a number line

Answers

Answer:

Here plz leave review thx

Step-by-step explanation:

Suppose that the price p (in dollars) and the demand x (in thousand of units) of a commodity satisfy the demand equation 6p+x+xp=94
How fast is demand changing when the price is set at $9 and the price is rising at the rate of $2 per week?
dx/dt
=
The demand is decreasing at the rate of _________units per week.

Answers

The demand is decreasing at the rate of 2units per week.

Given the price p (in dollars) and the demand x (in thousands of units) of a commodity satisfy the demand equation 6p+x+xp=94

Differentiating the function with respect to time will result in;

[tex]6\frac{dp}{dt}+\frac{dx}{dt} + x \frac{dp}{dt} + p\frac{dx}{dt} = 0[/tex]

Given the following paramters

p = $6

dp/dt = $2/wk

Substitute the given parameters into the formula to have:

[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0[/tex]

To get the demand x, we will simply substitute p = 9 into the expression to have:

6(9)+x+9x=94

10x+54 = 94

10x = 94 - 54

10x = 40

x = 4

Substitute x = 4 into the derivative to have:

[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 2(4) + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 8 + 9\frac{dx}{dt} = 0\\20 + 10\frac{dx}{dt} =0\\10\frac{dx}{dt} =-20\\\frac{dx}{dt} =\frac{-20}{10}\\\frac{dx}{dt} =-\$2/wk[/tex]

Hence the demand is decreasing at the rate of 2units per week.

Learn more here: https://brainly.com/question/11859175

Which of the following correctly factors the expression −20x+4y−2?

A

4(−5x+4y+2)

B

2(−10x+2y−1)

C

−2(10x+2y+1)

D

−20(x−4y+2)

Answers

9514 1404 393

Answer:

B 2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

2(-10x +2y -1)

You could factor out -2. Doing that would give ...

-2(10x -2y +1) . . . . . . . doesn't match choice C

Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?

Answers

Answer:

Your equation option is possibly in here somewhere.

Step-by-step explanation:

A = C - 2

B = A + 6 → A = B - 6

C - 2 = A = B - 6 → B = C + 4

44 = C + B + A

44 = C + (C + 4) + (C - 2)

44 = 3C + 2

42 = 3C

C = 7

F=8
e=0.2
When F=25 find x

Answers

Answer:

0.625

Step-by-step explanation:

hope it can help you lovelots

In 20Pg how many choices are
there for the eighth batter for a
line-up of 9 out of 20?
A. 20
B. 14
C. 13

Answers

Answer:

Explanation-

It is 13 because it is the only one out of all of them that makes sense.

For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

In the given question,

In ²⁰ P ₉, the number of choices are to be found.

To find the choices,

Expand ²⁰ P ₉ by using a formula,

[tex]\rm ^nP_r = n!/(n-r)![/tex]

The number of choices

= 20!/ (20 -9)!

= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!

= 6.0949324 x 10¹⁰

The required number of choices are 6.0949324 x 10¹⁰.

To know more about Permutation and Combination on:

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The complete question is given below.

P= ?????????
Pls help and explain

Answers

Check the picture below.

O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?

Answers

Answer:

Step-by-step explanation:

i know this because i passed collage last year

Graph the linear equation. X = - 4y

Answers

Slope is rise .5 run of 2

Solve: (4x^2-3x+7)-(x^2+8x-5)

Answers

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

Answers

Answer:

Step-by-step explanation:

HELP 100 points for these.
PLZZZ HELP also brainliest :)

Answers

Answer:

1) GCF is 1 in this case

2) GCF is 36

3) GCF is 3

4) GCF is 2

Step-by-step explanation:

Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12

THe factors of 3 are

1-3

The factors of 12 are

1-2-3-4-6-12

The greatest common one is 3.

Answer:

GCF = 1

GCF = 36

GCF = 3

GCF = 2

Step-by-step explanation:

45 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

36 & 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 36.

45 & 6

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

30 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 2.

Can I have brainliest?

Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36

Answers

Answer: A 2-column table with 3 rows.

Step-by-step explanation:

The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12

Answers

Answer:C.5

Step-by-step explanation:

Create 2 equations that are equivalent to 3x - 12 = 24

Answers

Answer:

1st equation: 3(12) - 12 = 24

2nd equation: 36 - 12 = 24

Answer:

3(12) - 12 = 24

Step-by-step explanation:

Create (or find) mathematical examples of the following;

1. Equation

2. Expression

3. Slope-Intercept Form

4. Slope Formula

5. Scientific Notation

6. Point-Slope Form

Answers

Answer:

Equation

2+5=9

Other i don't know

Please help!!

Determine whether the inverse of F(x) is a function.

Answers

Answer:

Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.

Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.

The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.

An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.

Answers

Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Ahh can someone helpppp

Answers

X= 2, x= 2.5 and x= 7

Round 0.00359 to the nearest ten-thousandth.

Answers

Answer:

0.0036 !

Step-by-step explanation:

Give brainliest please :)

0.00359, when rounded to nearest thousandth results in 0.0036.

What is Rounding Off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.

Given, value to be rounded is : 0.00359

Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)

Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.

Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.

Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036

Learn more about rounding off rules here:

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Use the diagram below. What is the value of z? (Picture included) it would mean sm if anyone could help

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Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help