Mathematics College

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

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

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:

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

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:

Step-by-step explanation:

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

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

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)

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.

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

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:

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

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

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.

Could someone please help me with these 2 questions?

Answers

Answer:

#1 -5

Step-by-step explanation:

Poooo sieieoleltlrllrlr

Answers

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

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

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

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

Can Y’all Please Help Me ❗️

Answer:

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.

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:

Step-by-step explanation:

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 + z⁴x - 3yz = 3

Differentiate both sides with respect to x :

5y + 4z³x ∂z/∂x + z⁴ - 3y ∂z/∂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

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

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.

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

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 = $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

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