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2 years ago

Find the angles marked with the letters.

Mathematics

1 answer:

OLga [1]2 years ago

5 0

Answer:

bigger b is 55°, the other b is 35°, c is 29°

Step-by-step explanation:

angles opposite each other on a point are the same so the bigger b is 55

55+90=145

180-145=35 so b is 35

alternate angles are the same so 35+116=151

180-151=29 so c=29

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2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 m

vekshin1

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

3 0

3 years ago

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

6 0

3 years ago

Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%

ASHA 777 [7]

Answer:

Step-by-step explanation:

fdgrgeag

5 0

3 years ago

Perpendicular and Angle bisectors

Stels [109]

The answer is 8, because CA and BC are equal

3 0

3 years ago

How do you solve 4x+10=3x+37

lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 10 = 3x + 37

Step 2: Solve for x

Subtract 3x on both sides: x + 10 = 37
Subtract 10 on both sides: x = 27

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(27) + 10 = 3(27) + 37
Multiply: 108 + 10 = 81 + 37
Add: 118 = 118

And we have our final answer!

7 0

3 years ago

Find the angles marked with the letters.​

Find the angles marked with the letters.