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Andru [333]
3 years ago
14

Solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure

you include all steps needed to solve for ∠A

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

∠A=123°.

Step-by-step explanation:

From the given figure it is clear the CD and CE are two tangent lines on circle with center A.

Radius is perpendicular to the tangent at the point of tangency.

\angle ADC=90^{\circ}

\angle AEC=90^{\circ}

Smaller arc DE = (5x-2)°

It means central angle DAE is (5x-2)°.

\angle DAE=(5x-2)^{\circ}

Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.

\angle ADC+\angle DCE+\angle AEC+\angle DAE=360^{\circ}

90^{\circ}+(2x+7)^{\circ}+90^{\circ}+(5x-2)^{\circ}=360^{\circ}

(7x+5)^{\circ}+180^{\circ}=360^{\circ}

(7x+5)^{\circ}=360^{\circ}-180^{\circ}

(7x+5)^{\circ}=180^{\circ}

7x+5=180

7x=175

x=25

The value of x is 25.

\angle A=5x-2=5(25)-2=125-2=123^{\circ}

Therefore, the measure of ∠A is 123°.

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Answer:

128

Step-by-step explanation:

Supplementary means they sum to 180, and it's also a straight line. 180-49 = 131. 131-3 = 128, or x.

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2 years ago
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Which expresión represents, five times the quotient of two numbers?
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Let the numbers be m and n.  Then "<span>five times the quotient of two numbers" would be 5m/n.

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3 years ago
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goldenfox [79]

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3 years ago
Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal
Veronika [31]

Answer:

a) 3.128

b) Yes, it is an outerlier

Step-by-step explanation:

The standardized z-score for a particular sample can be determined via the following expression:

z_i = {x_i -\bar x}/{s}

Where;

\bar x = sample means

s = sample standard deviation

Given data:

the mean shipment thickness (\bar x) = 0.2731 mm

With the standardized deviation (s) = 0.000959 mm

The standardized z-score for a certain shipment with a diameter x_i= 0.2761 mm can be determined via the following previous expression

z_i = {x_i -\bar x}/{s}

z_i = {0.2761-0.2731}/{ 0.000959}

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b)

From the standardized z-score

If [z_i < 2]; it typically implies that the data is unusual

If [z_i > 2]; it means that the data value is an outerlier

However, since our z_i > 3 (I.e it is 3.128), we conclude that it is an outerlier.

6 0
3 years ago
If a = − 65 and b = 8, the product of a x b models which rule for multiplying integers? What is the product?
DedPeter [7]

Given, a = -65 and b = 8.

We have to find multiplication of them.

a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means (+)(-) = -.

So (a)(b) = (-65)(8)

= (-)(+)(65)(8) = - (65)(8) = -520

So we have got the required product.

Multiplication of a and b = -520.

The correct option is option C.

4 0
3 years ago
Read 2 more answers
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