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anyanavicka [17]
3 years ago
13

Find the measure of the angle indicated in bold, which is 20x+5

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
24x-1+20x+5=180
44x+4=180
44x=176
x=4

Therefore, 20x+ 5 is equivalent to 20(4)+5
20(4)+5
80+5
85

Hope this helps :)
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pogonyaev

Answer:

D) -20/-5 because a negative divided by a negative is a positive.

Step-by-step explanation:


6 0
3 years ago
Describe a way that someone could estimate the length of a book
postnew [5]
They could look at the length of the book and the size of the font to estimate the length of a book. 
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7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
Are you smarter than a second grader? A random sample of 60 second graders in a certain school district are given a standardized
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Answer:

We accept H₀ , we do not have enought evidence for rejecting H₀

Step-by-step explanation:

Normal Distribution

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standard deviation     σ  =  15

1.Hypothesis Test : Is a one tailed-test on the right

H₀      null hypothesis             μ₀  = 50

Hₐ    alternative hypothesis   μ₀  > 50

2.-We will do the test for  a significance level   α =  0,01 tht means for a 99% interval of confidence

then z(c)  =  2.32

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z(s)  = 15.49/15                        ⇒   z(s)  = 1.033

4.- We compare values of  z(c)   and z(s)

z(s)  <  z(c)      1.033 < 2.32

z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀

6 0
3 years ago
In the expression 10^5, what is the Base Number? What is the Exponential Number?
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Answer:

10 is the base number, and 5 is the exponent

Step-by-step explanation:

5 0
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