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Vika [28.1K]
3 years ago
14

If two adjacent angles have their exterior sides in perpendicular lines, then

Mathematics
2 answers:
Semenov [28]3 years ago
8 0
If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are also perpendicular. 

Both exterior and interior angles sum up from 90 - 180 degrees. Therefore, if an exterior angle is perpendicular, then the interior angle must also be perpendicular in order for them to sum up to that amount of degrees (90 - 180).

Hatshy [7]3 years ago
4 0

Answer:

CORRECT

Step-by-step explanation:

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For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)<br> A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
makvit [3.9K]

Answer:

A

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → A

5 0
3 years ago
Karen deposits $150 into her savings account in May and then deposits another $25 in June. She withdrew $105 in July. What is Ka
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Answer:

her balance in August is $70

Step-by-step explanation:

First, calculate her balance after the deposit in June:

150 + 25

= 175

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175 - 105

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7 0
3 years ago
Read 2 more answers
Which number supports the given conjecture?
choli [55]
A. 16 is divisible by 2 but not divisible by 3
B. 23 is not divisible neither by 2 nor 3
C. 27 is not divisible by 2, however it's divisible by 3
D. 36 is divisible both by 2 and 3

So the only number we can focus on is 36:

36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 6 = 6

Answer: D, 36 supports the given conjecture.
3 0
4 years ago
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Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take
Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0
3 years ago
Solve the problem.<br> Find the radius of a circle that has a circumference of 942 meters.<br> m
Montano1993 [528]
Circumference is equal to diameter multiplied by pi. C=d X pi. To find the radius we need to rearrange this equation. We know what pi and the circumference are, so to find diameter we do circumference divided by pi. D=c/pi. 942/pi = 299.85. This gives us the diameter, for the radius simply divide by 2 which is 149.92 :)
5 0
3 years ago
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