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jek_recluse [69]
3 years ago
11

Find the value of x. Then find the measure of each labeled angle.

Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0

Answer:

x = 70; the labeled angles are 110º and 70º.

Step-by-step explanation:

The full degrees will add up to 180º. There are 2x and +40.

Equation: 2x+40=180

Solve: 2x+40=180\\\\180-40=140\\\\2x=140\\\\x=70

Since x=70, 70+40 will equal to 110.

Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.

Ivanshal [37]3 years ago
6 0
I believe x equals 70 degrees
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Gelneren [198K]

Answer:

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Step-by-step explanation:

State the null hypothesis

H0: u = 60against the claim

Ha u≠   60   (this is a two tailed test)

Sample size n= 36

Sample mean=X`= 55

Population mean = u= 60

The significance level α = 0.05

Standard deviation= Sd = 22 seconds

Z= X`- u / Sd /√n

Z= 55- 60 / 22/√6

z= - 5/22/6

Z= -1.3635

The value of z from the table is Z∝/2= ±1.96

The critical region is less than - 1.96 and greater than 1.96.

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

4 0
3 years ago
Kareem borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 8%. The total interes
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  Step-by-step explanation:

6 0
3 years ago
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Answer:

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3 0
3 years ago
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Describe the term linear pair, and give an example from the diagram.
Burka [1]

Answer/Step-by-step explanation:

A linear pair is formed when two straight lines intersect to form two angles that are adjacent to each other and are on a straight line. The sum of both adjacent angles equals 180°.

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6 0
2 years ago
I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

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3 0
3 years ago
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