Yes LMN is a right triangle .
The answer is: [D]: " 157" .
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Explanation:
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g(x) = 8x² + 9x − 7 ;
g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
= 8(4*4) + 36 <span>− 7 ;
</span>
= 8(16) + 36 <span>− 7 ;
</span>
= 128 + 36 <span>− 7 ;
</span>
= 164 − 7 ;
= <span>157 .</span>
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The answer is: [D]: " 157" .
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Answer: 60 or 30
Step-by-step explanation:
<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;
Substituting the measures of ∠1 and ∠2, we get;
Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;
Thus, the measure of ∠1 is 55°
Building time :
4c + 6a < = 120
testing time :
4c + 4a < = 100
20 child bikes and 6 adult bikes...c = 20 and a = 6
sub into both equations
4c + 6a < = 120
4(20) + 6(6) < = 120
80 + 36 < = 120
116 < = 120 (correct)
4c + 4a < = 100
4(20) + 4(6) < = 100
80 + 24 < = 100
104 < = 100 (incorrect)
ur answer : No, because the bike order does not meet the restrictions of 4c + 6a < = 120 and 4c + 4a < = 100
