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AnnyKZ [126]
3 years ago
14

What is the measure of

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

180 - 143 = 37

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

61  + 37 = 98 \\ 180 - 98 = 82

‣Therefore, angle B equals 82.

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Line j has a slope of − 2. Line d is perpendicular to line j and passes through the point( − 8 , 3 ).  Write the equation for
Zina [86]

Answer:

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

4 0
3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
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vodomira [7]

Answer:

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Step-by-step explanation:

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3 years ago
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irinina [24]
The answer should be 227 ft
7 0
3 years ago
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Solve for v.<br> .<br> Simplify your answer as much as possible.
goldenfox [79]

Answer:

v = 9

Step-by-step explanation:

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\frac{a}{b} = \frac{c}{d} ⇒ ad = bc

8v = 12 × 6

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v = 9


7 0
3 years ago
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