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zimovet [89]
3 years ago
6

If DGH ~ DEF, Find the value of X

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

x=25

Step-by-step explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{DG}{DE}=\frac{GH}{EF}

substitute the given values

\frac{52}{91}=\frac{x+3}{2x-1}

(2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25

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Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
Leno4ka [110]

Answer: =1/2x+1/3

Step-by-step explanation:

7 0
3 years ago
Factor each of the following polynomial<br>lows.<br>1. 2x2 - 8x​
SVEN [57.7K]

Answer:

2x (x - 4)

Step-by-step explanation:

7 0
3 years ago
Please Help!! What is the next step in the proof? Choose the most logical approach.
marta [7]

Answer:

statement D is correct.

<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>

<em>Reason: Vertical Angles Theorem</em>

Step-by-step explanation:

Given that

3 ≅ ∠7 and ∠4 ≅ ∠8

from statement 2 because they are corresponding angles.

∠8 ≅ ∠5

because its vertical angles

The vertical angles theorem is about angles that are opposite each other.

So,

∠4 ≅ ∠8 and ∠8 ≅ ∠5

which means

<h3> ∠4 ≅ ∠5 </h3>

Hence,

∠3 = ∠7

∠4 = ∠5

they are known as interior alternative angles.

7 0
3 years ago
Please help!!! what is the value of x?
nika2105 [10]

Answer:

x=1

Step-by-step explanation:

Look at the bottom of the triangle you will see that 1 = x

4 0
3 years ago
If you were to solve the system using the addition method, what would you multiply the first equation by in order to make the x'
Inessa05 [86]
2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get

-4x+6y=12
<u>4x-2y=8 +</u>
0x+4y=20

4y=20
y=5

sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5


the number to multiply by is 2
7 0
3 years ago
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