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3 years ago

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If ZPQR measures 75 what is the measure of ZSQR?

1 answer:

slava [35]3 years ago

6 0

Answer:

Since there's no given exact measurement. I'll assume that the angle is by default 180 degrees.

If angle PQR measure 75 degrees.

then the measurement of angle SQR will be:

Angle PQR = 75

Angle SQR = 180 - 75 degrees

Angle SQR = 105 degree

Step-by-step explanation:

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the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers

earnstyle [38]

X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

3 0

3 years ago

4(5x + 9)^2 – 33 = -21

ozzi

Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

Add 33 to both sides:

4 (5 x + 9)^2 = 12

Divide both sides by 4:

(5 x + 9)^2 = 3

Take the square root of both sides:

5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)

Divide both sides by 5:

x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer: x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

7 0

4 years ago

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Lerok [7]

Answer:

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3 years ago

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HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Umnica [9.8K]

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on No. of students

test (X) with that score (f) $X \times f$ $( X - \bar X)^{2}$ $f \times ( X - \bar X)^{2}$

50 1 50 1073.218 1073.2176

57 2 114 663.578 1327.1552

60 4 240 518.018 2072.0704

65 3 195 315.418 946.2528

72 3 216 115.778 347.3328

75 12 900 60.218 722.6112

77 10 770 33.178 331.776

81 6 486 3.098 18.5856

83 6 498 0.058 0.3456

88 9 792 27.458 247.1184

90 12 1080 52.418 629.0112

92 12 1104 85.378 1024.5312

95 2 190 149.818 299.6352

99 4 396 263.738 1054.9504

100 <u> 5 </u> <u> 500 </u> 297.218 <u> 1486.088 </u>

Total <u> 91 </u> <u> 7531 </u> <u> 11580.68 </u>

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X \times f}{\sum f}$

= $\frac{7531}{91}$ = 82.76

Now, the standard deviation of the data is given by;

Standard deviation, S.D. = $\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}$

= $\sqrt{\frac{11580.68}{91-1}}$

= 11.34

Hence, the standard deviation of the given data is 11.34.

5 0

3 years ago

What are the domain,range,and asymptote of h(x)=2 to the power of x+2

jeka57 [31]

Domain: (-infinity,infinity)

Range: (0, infinity)

The asymptote is at 0

8 0

3 years ago