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3 years ago

Find the measure of each angel

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

We will write and solve an equation that expresses the given relation. Let x represent the angle measure. Its complement is (90-x).

... x =(1/4)(90 -x)

Subtract x and simplify

... 0 = (90/4) - (5/4)x

Divide by the coefficient of x, which is -5/4.

... 0 = -18 +x

Add the opposite of the constant.

... 18 = x

The angle is 18°.

The attachment shows the intersction of road AB with road CD.

<em>Supplementary angles:</em> ∠CXA and ∠CXB; ∠BXC and ∠BXD; ∠DXA and ∠DXB; ∠AXC and ∠AXD.

<em>Complementary angles:</em> none

<em>Vertical angles:</em> ∠AXC and ∠BXD; ∠BXC and ∠AXD.

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Which table of ordered pairs represents a proportional relationship?

dedylja [7]

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Step-by-step explanation:

Examining the response options:

A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.

No, as y = 25 not 20 and x = 5 .

A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.

No, y =64 not 48 and x= 4.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.

No, y= 25+3*45= 160 not 90 and x = 3.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.

Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.

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3 years ago

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A grounds crew is marking out a circular logo at the center of a football field. The logo will

patriot [66]

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is 2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards ± .008 yds That's just about 1/4 of an inch

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2 years ago

A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list

DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

The population of interest is all city governments in the U.S.
The population of interest is the 192 cities.
The population of interest is all city governments that provide utilities to their residents.
The population of interest is 6.25%
The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
The parameter of interest is 6.25%
The population of interest is the 20 counties.
The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

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2 years ago

Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount sh

Flauer [41]

Answer:

She spent $160 total

Step-by-step explanation:

(5 × 20) + (3 × 20) Multiply in the parentheses first

100 + 60 Add

$160 total

If this answer is correct, please make me Brainliest!

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3 years ago

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Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?

Fantom [35]

Answer:

Step-by-step explanation:

You have to use Point Slope Form:

y - Y1 = m (x - X1)
m is the slope
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

About Problem:

Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.

-3 represents X1 in y - Y1 = m (x - X1) form

-1 represents Y1 in y - Y1 = m (x - X1) form

y - Y1 = m (x - X1)

y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form

If you want to solve it, & put it in Slope Intercept form, it would look like this:

y = mx + b

y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...

Really really sorry if I'm incorrect...

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3 years ago

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