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gizmo_the_mogwai [7]
3 years ago
14

Which construction must you do to construct a triangle given the lengths of two sides and the measure of the angle between the t

wo sides? A) Construct a 90° angle. B) Construct a line parallel to a given line. C) Construct an angle congruent to a given one. D) Construct a line perpendicular to a given line.
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0
The goal is to construct a triangle. If you choose A) you will only have two lines connecting, with an angle of 90°. If you choose B) you cannot have a triangle also with 2 lines only. Neither D). So choose C) construct an angle congruent to a given one-- connect the lines and produce a perfect triangle.
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What is the product of −212 and −312 ? Enter your answer as a mixed number, in simplified form, in the box.
Natalija [7]

(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.

... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property

... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again

... = 6 + 1 + 3/2 + 1/4

... = 7 + (1 1/2) + 1/4

... = 8 + 2/4 + 1/4

... = 8 3/4

_____

On your calculator, -2.5 × -3.5 = 8.75.

5 0
3 years ago
Solve using substitution. x + 3y = -13 <br><br><br> 5x + 7y = -9
Zarrin [17]
X+3y=-13
x=-3y-13
5(-3y-13) +7y = -9 
-15y -65 +7y = -9 
-8y-65=-9
             65 -
             -----
             -74
              /-8
             ------
  y=       9.25

x+3(9.25) = -13
x+27.75= -13
             27.75-
             -------
x=        -40.75

6 0
3 years ago
Read 2 more answers
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. Write an equation for the cost
iragen [17]
The answer is 75+ 0.30(x) = y
8 0
3 years ago
Read 2 more answers
What is 2(10x+3)+2(4c)
lora16 [44]
Your answer is 140
so yeah i have to keep typing because its too short and im done

5 0
3 years ago
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