in the figure, △ABC is similar to △DEF. what is m∠1

In The Figure, ABC Is Similar To DEF. What Is M1

Answers

Answer 1

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°


Related Questions

Find the length of the missing side. The triangle is not drawn to scale.

Answers

Answer:

c = 10

Step-by-step explanation:

To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.

----------------------

In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!

---------------------

Important words

Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.

You need to make at least 360 wraps for a party. You can make 9 wraps per minute.

How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Answers

Answer:

40 minutes

Step-by-step explanation:

What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!

It will take 40 minutes for me to make the 360 wraps that I need.

9x ≥ 360 ⇒ x ≥ 40

Step-by-step explanation:

I have to make at least 360 wraps for a party.

I can make 9 wraps per minute.

So, it will take minutes for me to make the 360 wraps that I need.

If I work for x minutes to make wraps, then I will be able to make 9x wraps.

So, the inequality that models the given condition is

9x ≥ 360

⇒ x ≥ 40 {Dividing both sides by 9}

Therefore, I need to work at least 40 minutes to reach my goal. (Answer)

PLEASE HELP ITS ALREADY LATE

I neees help please
emilio used addition of two rational numbers to solve a problem.Jim used subtraction to solve the same problem. Is it possible that they both solved the problem correctly? Use a specific example to explain

Answers

Answer:

yes it is possible.

for example: +7-7=0

Step-by-step explanation:

What is the measure of angle x

Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior

Could someone please help me with these 2 questions?

Answers

Answer:

#1 -5

Step-by-step explanation:

Find m L and P is 85
P, M, and N is 23

Answers

Answer:

108 degrees for angle LMN

We know that there are only two angles total. We are looking for angle LMN which includes both angle LMP and angle PMN. To do this, we simply add the values of both. So, 85+23= 108 degrees

In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answers

Answer:

[tex]tan\ X= \frac{4}{3}[/tex]

Step-by-step explanation:

Given

[tex]Z=90\°[/tex]

[tex]ZY = 4[/tex]

[tex]XZ = 3[/tex]

[tex]YX = 5[/tex]

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]

In this case, it is:

[tex]tan\ X= \frac{ZY}{XZ}[/tex]

Substitute values for ZY and XZ

[tex]tan\ X= \frac{4}{3}[/tex]

Hence, the required ratio is 4/3

Answer:

4/3

Step-by-step explanation:

Principal=$100 rate=5% years=3 what is the interest?

Answers

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!

Answers

Answer:

no u right its b

Step-by-step explanation:

Find the unit rate. Round to the nearest hundredth, if necessary.

$340 for 18 ft2

Answers

Answer:

18.89

Step-by-step explanation:

340/18=18.8888

18.888 to the nearest hundredth is 18.89

Put 3.437 in expanded Notation form , please, Will give brainliest.

Answers

Answer:

(3*1)+(4*0.1)+(3*0.01)+(0.007)

Step-by-step explanation:

Can't really explain, sorry.

You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places

Answers

Answer:

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ±(z*s/√n)

xbar is the mean = 36

z is the z score at 95% CI = 1.96

s is the standard deviation = 6.9

n is the sample size = 22

Substitute

CI = 36  ±(1.96*6.9/√22)

CI = 36  ±(1.96*6.9/4.6904)

CI = 36  ±(1.96*1.4711)

CI = 36  ± 2.8833

CI = (36 - 2.8833, 36 + 2.8833)

CI = (33.1167, 38.8833)

Hence the 95% CI for the true population mean is 33.12<x<38.88

Is this rational or irrational I really need help ASAP! Will mark brainlist.

Answers

Answer: Rational

A rational number is, as the name implies, any number that can be expressed as a ratio, or fraction. ... 4.5 is a rational number, as it can be represented as 9/2.

I hope this is good enough:

Which of the following statements best describes the role of oxeans in the formation of hurricanes?
A: Warm air masses over equatorial regions rise more quickly than air masses over polar regions.
B: Warm , moist air above warm , tropical ocean waters provides the energy that drives storm systems.
C: Cool air masses over polar regions are more dense than air masses over equatorial regions.
D: Cool, dry air above cool , tropical ocean waters provides the energy that drives storm system's.

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Step-by-step explanation:

Poooo sieieoleltlrllrlr

Answers

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

:3

Step-by-step explanation:

Someone please help I will give u 1¢

Answers

Answer:

3rd option

y=1/2 x-3

If X = 6 Which number line shows the value of X? Good answer gets brainliest

Answers

Answer:

B

Step-by-step explanation:

The absolute value of a number means its distance from zero.

Therefore:

I-6I=6

Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.

Clancy has 4 2/3 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup.

Write a multiplication equation to determine the number of people, p, who can be invited to the party.

Answers

Answer:

4 2/3 divided by 3/4 = p

Step-by-step explanation:

whatever the answer to the equation is the amount of people able to be invited

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 6 = 7 is an equation.

We have,

Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]

Amount of cups of yogurt each person received = 3/4 of a cup

The number of people p that can be invited to the party:

3/4 p = [tex]4\frac{2}{3}[/tex]

3/4 p = 14/3

p = 14/3 x 4/3

p = 56/9

p = 6.22

p = 6

Thus,

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

You are given that angle YZW and asked ZYX are right angles. What additional piece of information allowed you to prove that triangle WYZ is congruent to triangle XZY? ​

Answers

Answer:

e

Step-by-step explanation:

The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
0 33²-7
o 11x².7
O 3x2-23
O 11x 2 + 23
Previous

Answers

Answer:

c

Step-by-step explanation:

Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=

Answers

Answer:

-2.7

thats the answer but i cant submit without some words lol

Answer:

n= 1.8

Step-by-step explanation:

Solve the following expression:

n/-15 = -1.2

-Multiply -1.5  on both sides:

(-1.5) n/-1.5 = -1.2(-1.5)

n=1.8

Therefore, the final answer is n = 1.8.

7x-y=3 for y (please show work)

Answers

Answer:

y= -3+7x

Step-by-step explanation:

7x-y=3 for y

Move variable to the right

-y+3-7x

Change the signs

y= -3+7x

if there are 1 ,200 calories in 8 oz of hot fudge, how many calories are in 3 caloz of hot fudge?

Answers

Answer:

450!

Step-by-step explanation:

1200/8=150

150x3-450

a.
A bicycle helmet cost $41.40 in 1983. What will a bicycle helmet cost when the CPI is 1869 Round to the nearest cent.
$222.58
b. $144.60
C. $77.00
d. $72.30
Please select the best answer from the choices provided
A
B
D
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

✅ C. $77.00

edgen

The price of the bicycle helmet cost at the time when CPI is 186 is $77.

What is consumer price index?

The tool used to gauge inflation is the consumer price index (CPI). It is used to calculate the typical difference in pricing of household goods between two specified periods. It is an overall assessment of product pricing trends while maintaining quality.

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

CPI = consumer price index in current period

[tex]C_t[/tex]  = cost of market basket in current period

[tex]C_0[/tex]  = cost of market basket in base period

Then, we have:

CPI = [tex]C_t[/tex] / [tex]C_0[/tex] x 100

So, 186 = [tex]C_t[/tex] / 41.4 x 100

[tex]C_t[/tex] = $77

Learn more about consumer price index here:

brainly.com/question/5992428

#SPJ6

Can Y’all Please Help Me ❗️

Answers

Answer:

T

t

f

t

Step-by-step explanation:

When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?-

Answers

Answer:

4.5

Step-by-step explanation:

Just did the Lesson

Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point​ (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.

Answers

Looks like the given curve is

5xy + zx - 3yz = 3

Differentiate both sides with respect to x :

5y + 4z³xz/∂x + z⁴ - 3yz/∂x = 0

Solve for ∂z/∂x :

(4z³x - 3y) ∂z/∂x = - (5y + z⁴)

z/∂x = - (5y + z⁴) / (4z³x - 3y)

At the point (1, 1, 1), this derivative is

z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3) = -6

How do you say 9.876?

Answers

Answer:

nine point eight hundred seventy six....hope u got, babes...

nine and eight hundred seventy-six thousandths. or, simpler: nine point eight hundred seventy-six. or, even simpler: nine point eight seven six.

Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?​

Answers

Answer:

125dollars

Step-by-step explanation:

follow me say a thanks mark me branliest

Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14
hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?

Answers

Answer: she won: 322

Step-by-step explanation:

first add all the amounts of money she got for babysitting some devils, and there your equation is DONE

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