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4 years ago

I need to figure out what x

Mathematics

2 answers:

Fofino [41]4 years ago

8 0

Answer:

x = 63

Step-by-step explanation:

The sum of the angles of a triangle is 180

71+46+x = 180

Combine like terms

117+x =180

Subtract 117

117+x-117= 180-117

x =63

Anestetic [448]4 years ago

4 0

Answer:

$63 \: \: degrees$

Step-by-step explanation:

$46 + 71 + x = 180 \\11 7 + x = 180 \\ x = 180 - 117 \\ x = 63$

Sum of the interior angles in a triangle is equal to 180 degrees

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The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$

c) Using casio calculator to evaluate the integral gives:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$ = 2.54 inches

D) The total daily change in water level = $\int\limits^{24}_{0 } {W(t)} \, dt\\\\$ = 0.35 inches

8 0

3 years ago

Lines AB and BC intersect at point B. Ray BD bisects angle ABC. (4x-24) B (x+6) What is the value of x?

Verizon [17]

If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23

The line AB and BC are intersecting at point B.

Ray BD bisect the angle ABC

∠ABD = x+8 degrees

∠ABD=∠DBC = x+8

Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal

∠ABD+∠DBC= 4x-30 degrees

Because both are vertically opposite angles

Substitute the values in the equation

x+8 + x+8 = 4x-30

2x+16 = 4x-30

2x-4x = -30-16

-2x = -46

x = 23

Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23

The complete question is

Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?

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4 0

1 year ago

Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The l

Law Incorporation [45]

Answer : $3403.53

Detailed Solution:
principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91

4 0

3 years ago

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Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th

kumpel [21]

The location of the image of points J and K following a reflection across the x-axis are;

J'(-3, -4), and K'(3, -4)

<h3>Which method can be used to find the image of a point following a reflection?</h3>

Coordinates of point are;

J(-3, 4), K(3, 4)

The given transformation is; A reflection across the x-axis

The representation of a reflection across the x-axis is presented as follows;

(x, y) → (x, -y)

The image of J and K following a transformation across the x-axis are therefore;

J(-3, 4) → J'(-3, -4)

K(3, 4) → K'(3, -4)

Learn more about reflection transformation on the coordinate plane here:

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2 years ago

One glass of milk provides 305mg of calcium. Maggie drinks one glass of milk every morning. How many grams of calcium does Maggi

Komok [63]

She drinks 4.27 grams on calcium in 14 days at one glass of milk containing 14 mg per day

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3 years ago

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