Answer:
7 ( 3x + 5y) = <u>21x+35y</u>
<u>Step-by-step explanation:</u>
<u>Step 1 : </u> apply the distributive law. <u>("the law relating the operations of multiplication and addition")</u>
<em>a ( b + c ) = ab + ac</em>
7 ( 3x + 5y) = 7 x 3x + 7 x 5y
<u>Step 2 : simplify </u>7 x 3x + 7 x 5y
So, the answer is <u>21x+35y</u>
Brainliest? :D and hope this helps!
Learn more about Distributive Property:
<u>brainly.com/question/2807928</u>
Answer:
706.86
Step-by-step explanation:
15² x π = 706.86
Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
80,000,000 = 80,000,000 (in expanded form)
80,000,000 = eighty million (in word form)
80,000,000 = 8 x 10^7 (in standard form)
Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
