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s344n2d4d5 [400]
4 years ago
7

In this triangle, which of the following is true?

Mathematics
2 answers:
AleksAgata [21]4 years ago
8 0

Answer:

Option C. x = 55° and a = 11.47 is the correct option.

Step-by-step explanation:

As we know sum of all angles of a triangle = 180°

Therefore in the triangle given

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125° °°

x = 55°

Now we we find the sine of 35°

sin35° = \frac{\text{Height}}{\text{Hupotenuse}}

sin35°=\frac{a}{20}

0.5736 = \frac{a}{20}

a = 20×0.5736

a = 11.47 units

Therefore, option C. x = 55° and a = 11.47 is the correct option.

Dvinal [7]4 years ago
3 0
In this triangle, which of the following is true? Solution is attached.

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what is the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).
ioda

Answer:

The equation of the line would be y + 4 = -1/8(x + 6)

Step-by-step explanation:

To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -5)/(-6 - 2)

m = 1/-8

m = -1/8

Now that we have the slope, we can use that along with one of the points in the base form of point-slope.

y - y1 = m(x - x1)

y + 4 = -1/8(x + 6)

7 0
3 years ago
Based on the graph of f, which statement is true?
Serjik [45]
The inverse x exists
7 0
3 years ago
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Alfred made 20 goals in 3.5 minutes.what is alfreds unit rate per goal
Veseljchak [2.6K]
I belive the unit rate per goal is 5.7
5 0
3 years ago
What is the value of d? Assume that the line is a tangent to the circle.
motikmotik

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to 118^{0}.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

\measuredangle x=\frac{1}{2}m \widehat{ABC}

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

360^{0}-118^{0}=242^{0}

Now we will plug given values in our  formula,

d^{0}=\frac{242}{2}=121

Therefore, the measure of d is 121 degrees.


5 0
3 years ago
Read 2 more answers
Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m
arsen [322]

Answer:

72 mles

Step-by-step explanation:

For better understanding, I'll make use of an attachment.

From the attachment,

O represents the start point

OB = 30 --- Jack

AB = 78 -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

AB^2 = OA^2 + OB^2

This gives:

78^2 = OA^2 + 30^2

6084 = OA^2 + 900

Subtract 900 from both sides

OA^2=  6084 - 900

OA^2=  5184

Take square roots

OA = \sqrt{5184}

OA = 72

<em>Hence, Jill drove 72 miles</em>

5 0
3 years ago
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