Answer:
4^4
Step-by-step explanation:
Working from left to right
4^5 * 4^-7 ÷ 4^-2
We know that a^b * a^c = a^(b+c)
4^5 * 4^-7 = 4^(5-7) = 4^2
4^2 ÷ 4^-2
We know a^b / a^c = a^(b-c)
4^2 ÷ 4^-2 = 4^(2- -2) = 4^(2+2) = 4^4
Answer:
3x²y²(1 - 4xy²z)
Step-by-step explanation:
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Factor 3 out of 12
Factor x² out of x³
Factor y² out of y⁴
you will get the GCF of 3x²y² and left with (1 - 4xy²z)
3x²y²(1 - 4xy²z)
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Hoped this helped
Answers:
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Angle B: 81° .
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Angle C: 99° .
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Angle D: 81° .
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Explanation:
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Angle B:
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Given: m∡A = 99° ;
∡A and ∡B are "supplementary angles" ;
and supplementary angles add up to 180°.
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→ So, m∡B = 180 − 99 = 81° .
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Angle C: 99° .
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Explanation:
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Given: m∡A = 99° .
∡A and ∡C are "vertical angles". Vertical angles are congruent.
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→ So m∡A = m∡C = 99° .
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Angle D: 81° .
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Explanation:
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∡B and ∡D are vertical angles. Vertical angles are congruent.
As previously determined above, m∡B = 81° .
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→ So, m∡D = m∡B = 81° .
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To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
Answer:
18
Step-by-step explanation:
this is the surface area but what is the question