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lys-0071 [83]
3 years ago
10

Find the value of x in the triangle shown below

Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Answer: 70

Step-by-step explanation:

Since the spot where the 3.5 and the 4 meet is 55 and there is 2 of that exact angle you can add them to get 110. 180-110 is 70 :)

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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Katena32 [7]

Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

\angle Y = 45

\angle Z = 60

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

XY = \frac{4 * 0.8660}{0.7071}

XY = \frac{3.4640}{0.7071}

XY = 4.89888276057

XY = 4.9 -- <em>approximated</em>

3 0
3 years ago
What is the value of the exponential function f (x)=2 times (1/3)^x when x= -2
frutty [35]

Answer:

18

Step-by-step explanation:

f(x) = 2(1/3)^x

[x = -2]

f(-2) = 2(1/3)⁻²

= 2(9)

= 18

5 0
2 years ago
The distance from the earth to the moon is approximately 381464km. Assuming the moon has a circular orbit around the earth, find
natta225 [31]

Check the picture below.

5 0
3 years ago
I need help ASAP 10 Points!!!
swat32

Purple color figure is similar to the original figure.

<u>Solution:</u>

Property of similar polygon:

<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

(1) <u>Compare original figure with green color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) <u>Compare original figure with yellow color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) <u>Compare original figure with purple color figure:</u>

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0
3 years ago
Needing help with problem 1..
Ne4ueva [31]
W=6. Hope this helps!!
7 0
2 years ago
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