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2 years ago

7

[100 POINTS+BRAINLIEST] Use the figure to find each missing angle measure.

2 answers:

Nimfa-mama [501]2 years ago

8 0

Answer:

$< 1 = 112 \\ < 2 = 68 \\ < 3 = 90 \\ < 4 = 90 \\ < 5 = 22 \\ < 6 = 158$

Step-by-step explanation:

$< 4 = 90 \: (vertical \: angles)\\ < 3 = 180 - 90 = 90 \: (flat \: angle)\\ < 2 = 68 \\ < 1 = 112 \\ < 1 = 180 - 68 = 112 \: (triangle) \\ < 5 = 180 - < 2 - < 4 = 22 \\ < 6 = 180 - 22 = 158$

devlian [24]2 years ago

7 0

Answer:

Angle 1 is 112°, 2 is 68°, 3 is 90°, 4 is also 90°, 5 is 22° and angle 6 is 158°

Step-by-step explanation:

To find angles 3 &4 and 2 &1, you subtract the measurement given in each intersection from 180 (all straight lines are 180) to find the other angle measurements. To find 5 I used the 4th angle and the 2nd angle to find the missing number out of 180 since all of the angles in a triangle have a sum of 180°. The missing angle was 22. You can use the angle measurement of #5 to find 6 like how I mentioned before about all straight lines equaling 180°. If this all sounds like mumbo-jumbo I can elaborate a little more in the comment section!

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Luba_88 [7]

4/11 = 0.36 (repeat: 36)
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6/11 = 0.54 (repeat: 54)
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3 years ago

Read 2 more answers

What is 20% of 650g?

melomori [17]

20%*650g= $\frac{650g}{5}=130g$ .

Therefore, 20% of 650g is 130g.

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3 years ago

Charley Davis is 1/4 as old as his father. The sum of their ages is 45. How old is each person?

Talja [164]

Answer:36 dad 9 charley

Step-by-step explanation:

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3 years ago

Batman can clean up all of the crime in Gotham City in 8 hours working alone. Robin can do the same job alone in 12 hours. If Ro

scoray [572]

<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

$\texttt{Rate of batman,}r_b=\frac{W}{8}$

Robin can do the same job alone in 12 hours.

$\texttt{Rate of Robin,}r_r=\frac{W}{12}$

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

So

$t\times \frac{W}{8}+(t+2)\times \frac{W}{12}=W\\\\12t+8t+16=96\\\\20t=80\\\\t=4hours$

After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM + 4 hours = 2:00 PM

The crime gets cleaned up at 2:00 PM

4 0

3 years ago

Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process

Nikolay [14]

Answer: c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let $\mu$ be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : $H_0 : \mu =135$

Alternative hypothesis : $H_a : \mu >135$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

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

where, n= sample size

$\overlien{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=42,\ \overline{x}=140\ \&\ \sigma=24$ , we have

$z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35$

Critical one-tailed test value for 0.10 significance level :

$z_{0.1}=1.28$

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0

3 years ago