Simplify.
4 (b + 2) - 3b
4b + 8 - 3b
Subtract 3b from 4b.
b + 8
Equivalent Expression: b + 8
Answer:
17 is the length of the hypotenuse.
Step-by-step explanation:
The pythagora theorem tells us a²+b²=c², where C is hypotenuse.
Replace the given info into the formula:
8² + x² = (x+2)²
64 + x² = x² + 4x + 4
64 - 4 = 4x
60 = 4x
x = 60/4
x = 15
Hypotenuse length is 15+2=17
First, convert 5 and 24/10 into a mixed fraction:
5 and 24/10 = 74/10
Now, divide 74/10 by 4:
74/10 ÷ 4 = 74/10 × 1/4
= 74/40
= 37/20
= 1 and 17/20
(Remember that dividing requires you to reciprocate 4)
Hope this helps!
Answer:
B. m ∠ 1 = 90° and m ∠ 2 = 90°
Step-by-step explanation:
For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.
When two right angles are supplementary, none of them is acute.
For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.
With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.
Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°
Answer:
2/12
Step-by-step explanation:
You have to divide 2/3 by 4 which is the same as multiply 2/3 with 1/4.
This will give you 2/12