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2 years ago

PLEASE HURRY Find the measure of each missing angle.

Mathematics

1 answer:

Luba_88 [7]2 years ago

8 0

<h2>Given:</h2>

m∠HFG = 71°

m∠EFH

<h2>Solution:</h2>

we know that the sum of all the angles on one side of a straight line = 180°

so,

m∠EFH +m∠HFG = 180°
m∠EFH +71° = 180°
m∠EFH = 180°-71°
m∠EFH = 109°

hence , option <em><u>c </u></em>⇴<em><u>109°</u></em> is correct

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ASHA 777 [7]

Answer:

The last number line

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3 years ago

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The fi

Marianna [84]

Answer:

hello your question is incomplete below is the complete question

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Selling price = 20385.25049 - 0.03739 Mileage - 686.33668 age. Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

answer : ≈ $16144

Step-by-step explanation:

<u>Determine the selling price of a four-year-old Honda Accord with mileage of </u><u>40,000</u><u> miles.</u>

Given data :

Age= 4 year, Mileage=40,000 miles

Hence the selling price

= 20385.25049 - 0.03739 Mileage - 686.33668 age

= 20385.25049 - 0.03739(40,000) - 686.33668 ( 4 )

= $16144.32

4 0

3 years ago

He vertices of square pqrs are p -4,0 q 4,3 r 7,-5 and s -1,-18.Show that the diagonals of square pqrs are congruent perpendicul

Anit [1.1K]

Answer:

Step-by-step explanation:

The vertices of the square given are P(-4, 0), Q(4, 3), R(7, -5) and, S(-1, -18)

For this diagonal to be right angle the slope of the diagonal must be m1=-1/m2

So let find the slope of diagonal 1

The two points are P and R

P(-4, 0), R(7, -5)

Slope is given as

m1=∆y/∆x

m1=(y2-y1)/(x2-x1)

m1=-5-0/7--4

m1=-5/7+4

m1=-5/11

Slope of the second diagonal

Which is Q and S

Q(4, 3), S(-1, -18)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-18-3)/(-1-4)

m2=-21/-5

m2=21/5

So, slope of diagonal 1 is not equal to slope two

This shows that the diagonal of the square are not diagonal.

But the diagonal of a square should be perpendicular, this shows that this is not a square, let prove that with distance between two points

Given two points

(x1,y1) and (x2,y2)

Distance between the two points is

D=√(y2-y1)²+(x2-x1)²

For line PQ

P(-4, 0), Q(4, 3)

PQ=√(3-0)²+(4--4)²

PQ=√(3)²+(4+4)²

PQ=√9+8²

PQ=√9+64

PQ=√73

Also let fine RS

R(7, -5) and, S(-1, -18)

RS=√(-18--5)+(-1-7)

RS=√(-18+5)²+(-1-7)²

RS=√(-13)²+(-8)²

RS=√169+64

RS=√233

Since RS is not equal to PQ then this is not a square, a square is suppose to have equal sides

But I suspect one of the vertices is wrong, vertices S it should have been (-1,-8) and not (-1,-18)

So using S(-1,-8)

Let apply this to the slope

Q(4, 3), S(-1, -8)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-8-3)/(-1-4)

m2=-11/-5

m2=11/5

Now,

Let find the negative reciprocal of m2

Reciprocal of m2 is 5/11

Then negative of it is -5/11

Which is equal to m1

Then, the square diagonal is perpendicular

6 0

4 years ago

Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A large

irina1246 [14]

Answer:

The correct options are;

B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies

B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.5 1.8

∑x 14.7 19.6

The mean is given by ∑x/n

n = 10

SC OC

∴ Mean 1.47 1.96

The median is the $\frac{n + 1}{n} th \ term$

Hence

SC OC

Median 1.55 2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0

3 years ago

Write -0.37 as a quotient of integers to show that is rational.

Gnoma [55]

Answer:

Step-by-step explanation:

7 0

3 years ago