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3 years ago

Determine the measure of angle UVT

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

$UVT =40$

Step-by-step explanation:

Required

Solve for UVT

First, calculate UTV

$UTV = 180 - UTB$

$UTV = 180 - 20x$

Next:

$UTV + VUT + UVT = 180$ ---- angles in a triangle

So:

$180 - 20x +60+7x+5 = 180$

Collect like terms

$- 20x +7x= 180-180-60-5$

$-13x= -65$

Divide by -13

$x = 5$

$UVT =7x+5$

$UVT =7*5+5$

$UVT =40$

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Answer:

Domain {-1, 0, 4}

Range {2, 3, 4, 7}

Step-by-step explanation:

domain is the x's with each listed once

range is the y's with each listed once

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4 years ago

Which number is a factor of 12 but not a multiple of 3

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Answer:

18 times the first equation and 8 times the second equation

Step-by-step explanation:

we have

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step 1

Multiply the second equation by 8 both sides to remove the fraction in the variable y

$8(\frac{4}{5}x+\frac{3}{8}y)=10(8)$

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step 2

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step 3

Adds the new equation 1 and equation 2

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The y-term is eliminated

therefore

The answer is

18 times the first equation and 8 times the second equation

3 0

4 years ago

The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 90

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Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ $z_{\alpha/2}=z_{0.05} = 1.645$

The confidence interval is :

$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$

$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$

$=38.9 \pm 1.56$

$=(36.44, 39.56)$

Therefore,

lower limit : 36.44

upper limit : 39.56

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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