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3 years ago

Find the measure of the indicated arc

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

m(ABC) = 218°

Step-by-step explanation:

The measure of any arc with end points of an inscribed angle = 2 × inscribed angle

Inscribed angle = m<AMC = 109°

Intercepted arc = m(ABC)

Therefore,

m(ABC) = 2 × 109°

m(ABC) = 218°

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Step-by-step explanation:

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3 years ago

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

BaLLatris [955]

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. $cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}$

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

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Using a calculator x would be about 8.4

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3 years ago

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Write the slope-intercept form of the equation of the line through the given point with the given slope.

Alexandra [31]

The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

The given coordinate point is (-1, 5) and slope=-4.

<h3>What is the slope intercept form?</h3>

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get

5=-4×(-1)+c

⇒ c=5-4

⇒ c=1

Substitute m=-4 and c=1 in y=mx+c, we get

y=-4x+1

Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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2 years ago

Elis [28]

Answer:

Step-by-step explanation:

36 divided by 4 is 9

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3 years ago

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Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo

Romashka [77]

Answer:

Susan sent 25 messages

Felipe sent 100 messages

Deon sent 35 messages

Step-by-step explanation:

160 = x + 4x + x + 10

160 = 6x + 10

6x = 150

x = 25

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3 years ago