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S_A_V [24]
3 years ago
13

Which expression uses the greatest common factor and the distributive property to rewrite the sum 75 + 45?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
7 0
<span>75 + 45

First let's find the greatest common factor.
75: 1, 3, 5, 15, 25, 75
45: 1, 3, 5, 9, 15, 45
Their GCF is 15.

To get 75, you multiply 15 by 5.
To get 45, you multiply 15 by 3.

Therefore, 15(5 + 3) = 75 + 45.

</span><span>B. 15(5 + 3)
</span>
leonid [27]3 years ago
3 0


15(5 + 3) = 75 + 45.

B. 15(5 + 3)

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Please help?!
Anton [14]

Answer:

Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider  the ratio of the sides

\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}            ..............( 1 )

\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}            ..............( 2 )

\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}            ..............( 3 )

So By equation ( 1 ), ( 2 ) and  ( 3 ) we get

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Now in Δ PQT  and Δ QRS we have

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proved

8 0
3 years ago
The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC
Alik [6]
If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
3 0
3 years ago
All rectangles are simular true or false
saul85 [17]

Answer:

true

Step-by-step explanation: all rectangles have 2 long sides and 2 short sides


5 0
2 years ago
Read 2 more answers
How to find area of a rectangle?
anyanavicka [17]

Formula

Area = L*w


Hint : To find the area of a rectangle , multiply the length times the width


I hope that's help !


4 0
3 years ago
Given the equation 8x=4Y +16 ,generate a plan to rewrite it in slope-intercept form WHICH VARIABLE DO YOU SOLVE FOR?
andriy [413]

Answer:

you switch 8x and 4y by subtracting 8x to 4y + 16 and substracting 4y to 8x.

This gives you the equation -4y = -8x+16

Then you divide each side by -4

To give you your slope-intercept form which is y = 2x-4.

4 0
2 years ago
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