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andrew11 [14]
3 years ago
11

Please solve and give me the answer. Please show me how you solved it too.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

x = 24

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

4x + x + 60 = 180

5x + 60 = 180

5x = 120

x = 24

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
2 years ago
Segment Segment X Y is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?
olga nikolaevna [1]

Answer:

just add

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Pleeeaaasssee Help!!!!
jarptica [38.1K]
It’s the first one!! :)))
8 0
3 years ago
Read 2 more answers
I need help with this one asap please and thank you
inna [77]

Answer:

C

Step-by-step explanation:

A

(m² - 3m + 2) / (m² - m)

we see due to a little bit of experience with expressions and multiplications of expressions that

(m² - 3m + 2) = (m - 2)(m - 1)

(m² - m) = m(m - 1)

so,

(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m

so, that's not it.

B

(m² - 2m + 1) / (m - 1)

we see again

(m² - 2m + 1) = (m - 1)(m - 1)

so,

(m - 1)(m - 1) / (m - 1) = m - 1

so, that's not it.

C

(m² - m - 2) / (m² - 1)

we see again

(m² - m - 2) = (m - 2)(m + 1)

and

(m² - 1) = (m + 1)(m - 1)

so,

(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)

yes, that is the solution.

D

(2m² - 4m) / (2(m - 2))

2m(m - 2) / (2(m - 2)) = 2m/2 = m

no, that is not a solution.

8 0
1 year ago
It is 1:45 25min later what time is it
marusya05 [52]

Answer:

The answer is 2:10

Step-by-step explanation:

60 mins in an hour. 1:45+25 is 1:70, turn that into ours and you get 2:10.

3 0
3 years ago
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