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4 years ago

AC ∥ DF, m∠F = 40° What is the m∠FEG?

Mathematics

1 answer:

amid [387]4 years ago

6 0

Answer:

90°

Step-by-step explanation:

If a triangle has a square in around a vertex, that angle is a right angle.

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NEED HELP I need to fill in the highlighted parts

Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

$Prove \ x = \dfrac{62}{9}$

Statement ${}$ Reason

S1. 9·(x + 6) - 41 = 75 ${}$ R1. Given

S2. 9·(x + 6) = 116 ${}$ R2. Addition property

S3. 9·x + 54 = 116 ${}$ R3. Distributive property

S4. 9·x = 62 ${}$ R4. Subtraction property

S5. $x = \dfrac{62}{9}$ ${}$ R5. Division property of equality

Question 2.

Statement ${}$ Reason

S1. m∠A + m∠B = m∠D ${}$ R1. Given

S2. ∠C and ∠D form a Linear Pair ${}$ R2. Definition of linear pair

S3. ∠C and ∠D are supplementary ${}$ R3. Linear pair ∠s are supplementary

S4. ∠C + ∠D = 180° ${}$ R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180° ${}$ R5. Substitution property

Question 3.

Statement ${}$ Reason

S1. ∠BDA ≅ ∠A ${}$ R1. Given

S2. ∠BDA ≅ ∠CDE ${}$ R2. Vertical angle theorem

S3. ∠CDE ≅ ∠A ${}$ R3. Transitive property of congruency

S4. m∠CDE = m∠A ${}$ R4. Definition of congruency

S5. (13·x + 20)° = (14·x + 15)° ${}$ R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5° ${}$ R6. Subtraction property

S7. x = 5 ${}$ R7. Subtraction property

Learn more here:

brainly.com/question/11331230

6 0

3 years ago

Find the Value of X. If your answer is not an integer, express it in simplest radical form.

Gennadij [26K]

For each question we must apply the Pythagorean theorem and clear the value of x.
question 5
x = root (14 ^ 2 + 16 ^ 2)
x = root (452)
x = 2raiz (113)
question 6
x = root (8 ^ 2 + 15 ^ 2)
x = 17
question 7
x = root (12 ^ 2 + 12 ^ 2)
x = root (2 * (12 ^ 2))
x = 12raiz (2)
question 8
x = root (18 ^ 2 - 9 ^ 2)
x = root (243)
x = 9raiz (3)

6 0

3 years ago

Find the distance between the points (3, 8) and (0,4).

Bingel [31]

Answer:

Step-by-step explanation:

(3,8) (0,4)

X1 = 3 X2 = 0

Y1 = 8 Y2 = 4

$D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2} }$

$D= \sqrt{(3-0)^{2} + (8-4)^{2} }$

Do what's in the parentheses so...

3-0= 3
8-4= 4

Now plug it in!

$D= \sqrt{(3)^{2}+(4)^{2} }$

Now you are going to finish the parentheses so...

(3)^2= 9
(4)^2= 16

Plug that in so that you have this...

$\sqrt{9+16}$

Add 9+16 to get...

$\sqrt{25}$

Then you are going to find the number or numbers that make this a perfect square...

$\sqrt{25}= 5$

So 5 is your answer

7 0

3 years ago

In a horse race, the odds in favor of the first horse winning in an 8-horse race are 2 to 5. The odds against the second horse w

Nataly_w [17]

The probability that the first horse wins is 2/7. The probability that the second horse wins is 3/10. Since the events that the first horse wins and the second horse wins are shared exclusive, the probability that either the first horse or the second horse will win is :

2/7 + 3/10= 41/70

Hope this is correct.

4 0

3 years ago

2) WEDNESDAY: Which of the following is NOT a method for solving a quadratic equation?

ozzi

Answer:

line of best fit

Step-by-step explanation:

line of best fit is NOT a method for solving a quadratic equation.

Rest of all the methods are used for solving a quadratic equation.

3 0

3 years ago