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2 years ago

Find the value of x.

Mathematics

1 answer:

Novay_Z [31]2 years ago

4 0

Answer:

Step-by-step explanation:

Remark

What you don't know and what makes the problem confusing, is that where to the given arcs start and end. So I am going to say that both arcs start from E and 119 ends at D, and 174 ends at F which means that the arc FD is not known, but it is not hard to find.

The total number of degrees from beginning to end is 360 degrees. The formula for finding FD is

Formula

FD = 360 - (174 - 119)

The formula for x is (ED - FD)/2

Solution

Arc FD = 360 - (174 - 119)

Arc FD = 67

So x = (119 - 67) / 2

x = 52 /2

x = 26

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$2x - 6 + 3 = 6x - 5$

$2x - 3 = 6x - 5$

$6x - 5 = 2x - 3$

Add sides 5

$6x - 5 + 5 = 2x - 3 + 5$

$6x = 2x + 2$

Subtract sides 2x

$- 2x + 6x = - 2x + 2x + 2$

$4x = 2$

Divide sides by 4

$\frac{4x}{4} = \frac{2}{4} \\$

$x = \frac{1}{2} \\$

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CHECK :

$2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\$

$1 - 3 = 3 - 5$

$- 2 = - 2$

Thus the solution is correct....

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7800 nm + 95 pm in scientific notation

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(a) (i) In first 4 minutes Mary's speed was 600 / 4 = 150 m / minute
(ii) in last 4 minutes her speed was (1000-600) / 4 = 400/4 = 100 m/min
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(c) 200 m
(d) Peter arrived at school after 7 minutes . Mary took 8 minutes. Peter first.
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3 years ago

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nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

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