9514 1404 393
Answer:
- shortest: 11 1/8 in
- longest: 11 3/8 in
Step-by-step explanation:
It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:
11 1/4 - 1/8 = 11 1/8 . . . inches
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Likewise, the longest allowable length is the nominal length plus the maximum tolerance:
11 1/4 + 1/8 = 11 3/8 . . . inches
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Of course, you know that 1/4 = 2/8, so adding or subtracting 1/8 gives the fractions shown above.
m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Answer:
x= -5/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(5x+9)=12−(x+9)
7(5x+9)=12+−1(x+9)(Distribute the Negative Sign)
7(5x+9)=12+−1x+(−1)(9)
7(5x+9)=12+−x+−9
(7)(5x)+(7)(9)=12+−x+−9(Distribute)
35x+63=12+−x+−9
35x+63=(−x)+(12+−9)(Combine Like Terms)
35x+63=−x+3
35x+63=−x+3
Step 2: Add x to both sides.
35x+63+x=−x+3+x
36x+63=3
Step 3: Subtract 63 from both sides.
36x+63−63=3−63
36x=−60
Step 4: Divide both sides by 36.
36x/36 and -60/36
x= -5/3
The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
<span>B. 288.</span>
I’m pretty sure that it is the 3 or C option.
