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4 years ago

In the diagram, m CD = 128° and m DA = 76°. What is m∠ABC?

2 answers:

7 0

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102

Vikki [24]4 years ago

6 0

Answer: The value of m∠ABC is 102° .

Step-by-step explanation:

Since we have given that

m CD = 128°

m DA = 76°

We need to find the m∠ABC, Angle subtended at the center is half of the sum of the measure of the arc intercepted by it.

$\frac{m\ CD+m\ DA}{2}=\angle ABC\\\\\frac{128^\circ+76^\circ}{2}=\angle ABC\\\\102^\circ=m\angle ABC$

The value of m∠ABC is 102° .

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180 lb 12 oz - 79.3 kg = ___________ kg

Brrunno [24]

Answer:

$180lb\ 12 oz - 79.3kg = 2.8kg$

Step-by-step explanation:

Given

$180\ lb 12\ oz - 79.3kg$

Required

Solve

First, convert 180lb to kg

$1lb \to 0.454kg$

$180lb \to 180 *0.454kg$

$180lb \to 81.7kg$ -- to 1dp

Next, convert 12oz to kg

$1oz \to 0.03kg$

$12oz \to 12 * 0.03kg$

$12oz \to 0.4kg$ --- to 1 dp

So, the expression becomes:

$180\ lb 12\ oz - 79.3kg$

$81.7kg + 0.4kg - 79.3kg$

$= 2.8kg$

Hence:

$180lb\ 12 oz - 79.3kg = 2.8kg$

3 0

3 years ago

Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of minutes. T

Sergio [31]

No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.

We can do the following study for conclusion:

Firstly the null hypothesis is

$H_{0}: x=15.5$

The alternate hypothesis is

$H_{1}: x < 15.5$

since the value is less than this is a one tailed test.

Z=x bar-x/d/ $\sqrt{n}$

where x is sample mean and d is standard deviation.

Z=15.4-15.5/1.7/ $\sqrt{90}$

=-0.1/1.7/9.4868

=-0.560

Critical value of Z at 0.1 level of significance

Z=-1.28

We fails to reject the null hypothesis since -0.560>-1,28

Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Learn more about hypothesis at brainly.com/question/11555274

#SPJ4

Question is incomplete. It should include:

mean of 15.5 minutes ,

standard deviation of 1.7 minutes,

sample size of 90

and sample mean of 15.4 minutes.

5 0

2 years ago

You have some cash. You can either invest in a short-term bond that pays 4% or payoff some credit card debt at 9%. Which should

galben [10]

Pay the credit card debt off.

6 0

3 years ago

On circle O below, SE is a diameter. What is the measure of ISE?

Jobisdone [24]

Answer:

34° assuming angle (SIL) and (EID) are equal

Step-by-step explanation:

hmu if you want an explanation

6 0

3 years ago

5/8+2/5= in simplest form

mojhsa [17]

5/8+ 2/5
= 25/40+ 16/40
= 41/40
= 1 1/40

The final answer is 1 1/40~

3 0

4 years ago