In the figure GHF =AEHD. Which statement is true by CPCTC?

Answers

Answer 1

Answer:

Answer: ∠HFG=∠HDE

Step-by-step explanation:

CPCTC acronym stands for Corresponding parts of congruent triangles are congruent, when two triangles are congruent then their corresponding parts are equal.

Given:- ΔGHF ≅ ΔEHD

Corresponding vertices are G→E, H→H, F→D

⇒∠GHF=∠EHD, ∠HGF=∠DEH and ∠HFG=∠HDE [CPCTC]

Therefore, third option is the right answer.

∠HFG=∠HDE

Rest of other are incorrect as they are not corresponding parts of the congruent triangles.

Answer 2

Answer: The answer here would be, "HDE = HFG"

Those are the only congruent points on there! The rest don't correspond with one another.
Hope this helps!

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Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? B) Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Answers

Answer:

54 miles/hour

If he made two stops of 10 minutes each and maintains the same speed, it would take him more than 4 hours to reach the town as the time speed would have been extended by 20 minutes.

Step-by-step explanation:

The rate of change of distance with time is called speed and it is measured in miles per hour. Mathematically,

Speed = Distance/time

His rate in miles per hour is his speed

= 216/4

= 54 miles per hour

Answer:

Rate in miles per hour: 54 miles per hour

Step-by-step explanation:

You can approximate e by substituting large values for n into the expression ______.a) (1-n)^1/n
b) (1+1/n)^n
c) (1-1/n)^n
d) (1+n)^1/n

Answers

e is approximately equal to (1+ 1/n) ^n

You can test this:

(1 + (1/50000))^50000 = 2.718

So the answer is B

Answer:

b) (1+1/n)^n

Step-by-step explanation:

Which expressions are equivalent to 4(4a+5) ?Choose 3 answers: (Choice A) 16a+5 (Choice B,) 16a+20 (Choice C) 12a+20+4a (Choice D,) 2(8a+10) (Choice E) 16a+5+4

Answers

Answer:The correct answer is B

Step-by-step explanation:4(4a + 5)

Use the distributive property

(4)(4a) + (4)(5)

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It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

Answers

Slope of the line;
slope= $(change in y)/(change in x)$
Slope= $(3--3)/(4-1)$
Slope,m = $(6)/(3) =2$
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5

If a circle has a circumference of C, what is the area of the circle in terms of C?

Answers

First you have to write down the formula on how to get the circumference of the circle (C = 2pi * Radius) and the Area of the circle which is (A=Pi*Radius^2). In getting the radius you need to transform the formula of the circumference by making the radius to be the unknown variable so it would become(R=C/2pi), after that you need to replace the radius in the formula of the area by the transformed formula of the circumference and you will come up of the formula of (A=Pi(C/2pi)^2).

Kendra took out a loan for $8,000 for 3 years with a compound interest rate of 1.75%. How much will she owe

Answers

Answer:

She will owe approximately $8,427.40 after three years.

Step-by-step explanation:

The compound interest formula is

A = P(1 + r/n)^(nt)

where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.

By substituting the values in and assuming that the interest is compounded every year, we get:

A = 8,000(1 + 0.0175)^((1)(3))

8,000(1.0175)^3

8,000(1.05342411)

8,427.40.

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Pleaseeeeeeee help me 7th grade math