3y+ 9 2/5=28 what does y equal in fraction?

In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?

Serhud [2]

Option B:

$\overline{A B}=\overline{D E}$

Solution:

In the given figure $\triangle A B C \cong \triangle D E C$ .

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in $\triangle A B C \ \text{and}\ \triangle D E C$ ,

$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

$\overline{ CA}=\overline{CD}$ – – – – (3)

$\angle ACB=\angle DCE$ – – – – (4)

$\angle ABC=\angle DEC$ – – – – (5)

$\angle BAC=\angle EDC$ – – – – (6)

Option A: $\overline{B C}=\overline{D C}$

By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

Therefore $\overline{B C}\neq \overline{D C}$ . Option A is false.

Option B: $\overline{A B}=\overline{D E}$

By CPCTC proved in equation (1) $\overline{AB }=\overline{DE}$ .

Therefore Option B is true.

Option C: $\angle A C B=\angle D E C$

By CPCTC proved in equation (4) $\angle ACB=\angle DCE$ .

Therefore $\angle A C B\neq \angle D E C$ . Option C is false.

Option D: $\angle A B C=\angle E D C$

By CPCTC proved in equation (5) $\angle ABC=\angle DEC$ .

Therefore $\angle A B C\neq \angle E D C$ . Option D is false.

Hence Option B is the correct answer.

$\Rightarrow\overline{A B}=\overline{D E}$

5 0

3 years ago

We have x = 7 so now solve for y by replacing x with 7 in this equation 2x + y = 20

Ivahew [28]

Answer:

y=6

Step-by-step explanation:

2(7)=14.

subtract both sides by 14.

y=6

7 0

3 years ago

Read 2 more answers

Which set of side lengths can be used to form a right triangle

leva [86]

Answer:

14, 48, 50

Step-by-step explanation:

To check which set of side length can be used to form a right triangle we use pythagorean theorem

c^2 = a^2 + b^2

biggest side (hypotenuse is c^2)

(a) 14, 48, 50

$50^2 = 14^2 + 48^2$

2500= 196+2304

2500= 2500 that is true

(b) 30, 40, 60

$60^2 = 30^2 + 40^2$

3600= 900+ 1600

3600= 2500 that is false

(c) 14, 50, 60

$60^2 = 14^2 + 50^2$

3600= 196+2500

2500= 2196 that is false

(d) 10, 24,28

$28^2 = 10^2 + 24^2$

784=100+576

784=676 that is false

4 0

3 years ago

Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7.

kumpel [21]

Answer:

7

Step-by-step explanation:

the answer is 7 positive and negative equal positive so it is 7

5 0

2 years ago

Identify the location of the point (-3, -2). A. P B. Q C. R D. S

docker41 [41]

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

8 0

2 years ago