Find: m∠1, m∠2, and m∠5 in degrees

Find: M1, M2, And M5 In Degrees

Answers

Answer 1

Answer:

<1 = 100

<2 = 80

Step-by-step explanation:

Angle 1 and angle 2 are supplementary

Supplementary angles add to 180 degrees

<1 + <2 = 180

The angles are in a ratio of 5 to 4

Multiply by x to get the measure of each angle

<1 = 5x  <2 = 4x

5x+4x = 180

Combine like terms

9x = 180

Divide by 9

9x/9 =180/9

x =20

<1 = 5x = 5*20 = 100

<2 = 4x = 4*20 = 80

Answer 2

Answer:

m1 = 122

m2 = 58

m5 = 68

Step-by-step explanation:

m2 = 180 - 54 - 68 = 58

m1 = 180 - m2 = 180 - 58 = 122

m5 = 180 - 58 - 54 = 68


Related Questions

Find the simple interest on a P10500 loan at 20% for two years. (show
your process to get two points)
DO
D12
Dan​

Answers

Answer:

P4200

Step-by-step explanation:

SI=PRT/100

P=Principal which is P10500

R=Rate which is 20%

T=Time which is 2 years

So SI= 10500×20×2/100

=P4200

Find two angles (in radians) whose sine ratio is...

Answers

Hi there!

[tex]\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}[/tex]

From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate)  at which sin Ф = √3/2.

The two values are Ф = π/3 and 2π/3.

Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z.
Stock X opens the day with 5000 shares at $4.30 per share. Stock Y opens
the day with 2000 shares at $3.20 per share. Stock Z opens the day with 8000
shares at $4.90 per share. This simple index rises 4.9% over the course of the
day. What is the value of the index at the end of the day? Round your answer
to the nearest hundred.
A. $68,700
B. $67,100
C. $70,400
D. $68,300

Answers

Answer:

C

Step-by-step explanation:

so the first one ends at 4.7107

the second- 3.3568

the third- 5.1401

and multiplying the first by 5000 we get- 23,553.5

for the second we get -6,713.6

for the third we get 41,120

adding them all together we get 71,387.1

and so C is the closest

The  value of the index at the end of the day should be considered as the $70,400.

Calculation of the value of the index:

Since

Stock X opens the day with 5000 shares at $4.30 per share.

Stock Y opens the day with 2000 shares at $3.20 per share.

Stock Z opens the day with 8000 shares at $4.90 per share.

This simple index rises 4.9% over the course of the day.  

So ,

[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]

= $70,400

hence, The  value of the index at the end of the day should be considered as the $70,400.

Learn more about stock here: https://brainly.com/question/24636535

The sum of twice a number and 15 is 9

Answers

Key word: sum


twice a number = 2n

Sum of that and 15 = 2n + 15


is = equals


Answer: 2n + 15 = 9

[tex] \huge \purple{\tt{Answer:}} [/tex]

Let the unknown number be x .

[tex] \Large{\underline{\sf{According~to~question}}} [/tex]

[tex] \sf {2x+15=9} \\\\\ \implies \sf{2x=9-15} \\\\\ \implies \sf {2x=-6} [/tex]

[tex] \implies {\sf {x ={ \dfrac{ - 6}{2}}}} \\\\\ \implies \sf{x=-3} [/tex]

Select the equivalent expression . ( 8^ -5 2^ -2 )^ -4 =?

Answers

Answer:

b. 1/8×2²

Step-by-step explanation:

[wrote the explanation in ur previous question]

A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came on digital platforms. According to pew research data, 39% of Americans get news online or from a mobile device in a typical day. a. Suppose that you take a sample of 100 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? b. Suppose that you take a sample of 400 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in (a) and (b).

Answers

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]

The standard deviation;

[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]

[tex]\sigma = 0.048[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]

[tex]Z = -1. 8 4[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]

the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]

[tex]\sigma_{\hat p} =0.0244[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]

[tex]Z = -3.69[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

There are 250 students in a school auditorium.
Complete the table below.

Answers

Answer:

first box is 60

second box is 103

third box is 50

last box is 103

Step-by-step explanation:

good review if you answer with the right answer

Answers

Answer:

top left choice

Step-by-step explanation:

the slope is negative, so its flipped

the y int is -6, below the x axis

Answer:

Graph A (the top left)

Step-by-step explanation:

The correct graph has to have a negative slope. So this narrows the options down to either A (top left) or B (top right). The y-intercept has to be negative, and out of A and B, only Graph A meets this requirement.

Hope it helps!

What is the sum
X+
1
دیا |
x
100
Uw
x+
ოjთ
3 5
O 5*+
3 7
X+
8

Answers

Answer:

use photo math lol

Step-by-step explanation:

Determine whether the functions given are one-to-one. If not, state why.
(9,1),(-2,7),(7,4),(3,9),(2,7)}

Answers

Answer:

y

Step-by-step explanation:

Find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi (no approximations)

Answers

Answer = 7pi
Go in go knbjjjjb bxh b

What is the value of W in the equation 1/4W=16

Answers

Answer:

w=64

Step-by-step explanation:

you just have to multiply 4 on both sides to cancel the 1/4, and 16x4=64

Answer:

W = 64

Step-by-step explanation:

We will undo the operations that obscure the value of W to find its value.

1/4W = 16

Since we divided W by 4 (1/4W is the same a W/4), we will multiply both sides by 4.

16 x 4 = 64.

The value of W is 64.

What is the y-intercept of y = –2x+6?

Answers

Answer:

thw y intercept iz 6 and the z

slope is -2x

Step-by-step explanation:

hope this helps

Answer: y = 6

Step-by-step explanation:

1. Let y = 0 to find the x-intercept(s).

0=-2 x +6

2. Subtract 6 from both sides.

- 6 = - 2 x

3. Divide both sides by -2.

-6/-2 = x

4. Two negatives make a positive so 6/2 = x

5. Simplify 6/2 to 3.  

3 = x

6. Switch sides.

x = 3

2. y-Intercept

1. Let x = 0 to find the y-intercept(s).

y = -2 x 0+6

2. Simplify and get y = 6

Pls help extra points and mark brainlist

Answers

Step-by-step explanation:

I'm not sure but I think there are 2 terms!

A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)

Answers

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

Consider the system of equations 5x + y = 9 and 4x - y =18 what is the value of the x-coordinate of the solution

Answers

Answer:

[tex]\left \{ {{5x+y=9} \atop {4x-y=18}} \right.\\\\=>\left \{ {{5x+4x=9+18} \atop {y=4x-18}} \right.\\\\<=>\left \{ {{9x=27} \atop {y=4x-18}} \right.\\\\<=>\left \{ {{x=3} \atop {y=4x-18}} \right.[/tex]

=> the value of the x-coordinate is 3

Step-by-step explanation:

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 300 miles in 6 hours, and the truck traveled 200 miles in 4 hours, who is on pace to reach the destination first?

Answers

answer

they will reach at the same time.

Step-by-step explanation:

first we need to find out total Miles covered by bus and truck per hour,

so,

300÷6=50 miles per hour

200÷4=50 miles per hour

so they both will reach at the same time.

hope this will help you

thanx a lot

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

(4,-6)

x=4, y=-6

It wants me to type it longer help I just know the answer

Question 1
4+ (-3) + (-2) ?
Which of the following diagrams correctly represent

Answers

Answer:

4-3-2

-1

Step-by-step explanation:

Your teacher is giving a 150 point test. There are a total of 46 3-point questions and 5-point questions. How many of each are on the test

Answers

Answer:

Let x be the number of 3-point questions.

Let y be the number of 5 point questions.

20points!!!!! Help pls HURRY!!!!

Answers

Answer:

yes yes  no

Step-by-step explanation:

on a
A line containing the points (0, 2) and (3,4) is graphed
coordinate grid, as shown below.

Answers

Answer:

y = 2/3x +2

Step-by-step explanation:

Equation to mx+c

Rise over run = 2/3 is step one

m = rise over run

x = x value

c = y intercept

evaluate 75% of 3/4.........................

Answers

#The 75% of 3/4?

#Just times it.

Way to do

75/100 × 3/4 = 225/400 =9/16

#so, the 75% of 3/4 is 9/16

The equivalent value of the percentage is A = 9/16 = 0.5625 = 56.25 %

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the percentage be represented as q

Now , A = pq

when the value of p = 3/4

And , when the value of q =75 %

On simplifying the equation , we get

A = ( 75 % ) ( 3/4 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 75 % ) ( 3/4 )

Now , the value of 75 percentage = 3/4

A = ( 3/4 ) ( 3/4 )

A = 9/16

On simplifying , we get

Multiply by 3 on the fraction , we get

A = 0.5625

Therefore , the value of A = 9/16

Hence , the fraction is A = 9/16

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ6


What's cheaper, paying $20 or 20% off of $30?

NEED HELP!!

Answers

Answer:

$20 is cheaper :) (20% off of $30 would be $24!)

$20 due to 20% off of $30 is only $24

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?

Answers

Answer:

She had 14 prescriptions for tranquilizers.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of prescriptions she had for antibiotics.

y is the number of prescriptions she had for tranquilizers.

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

This means that:

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

[tex]x = \frac{3y}{2}[/tex]

She had 35 prescriptions altogether.

This means that:

[tex]x + y = 35[/tex]

How many did she have for tranquilizers?

We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

[tex]x + y = 35[/tex]

[tex]\frac{3y}{2} + y = 35[/tex]

Multiplying everything by 2

[tex]3y + 2y = 70[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

She had 14 prescriptions for tranquilizers.

A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)

Answers

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

603.2246 square centimeters.

Help me please and thank you!!!!!

Answers

Answer:

D-y=-3x+5

Step-by-step explanation:

Slope is -3x and y intercept is positive 5

Answer:

Step-by-step explanation:

y - 2 = -3(x - 1)

y - 2 = -3x + 3

y = -3x + 5

answer is D

The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?

A. The equation that represents this situation is x − 3 = 21. The second number is 24.
B. The equation that represents this situation is 3x = 21. The second number is 7.
C.The equation that represents this situation is -3x = 21. The second number is -7.
D.The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

Answer:

C

Step-by-step explanation:

Which function has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8

Answers

Answer:

it is c

Step-by-step explanation:

Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.

Interpretation of the function.

It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.

In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.

Learn more about functions on:

https://brainly.com/question/10439235

11 2/8 - 5 1/2 • 1 2/3 + 1 1/4

Answers

Answer:

[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]

Step-by-step explanation:

Hope this helps.

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