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shusha [124]
3 years ago
11

Find angle X in the angle diagram.

Mathematics
2 answers:
Rasek [7]3 years ago
6 0

Answer:

80°

Step-by-step explanation:

160 is vertically opposite the x and 80, which means they have the same value.  This makes x+80=160.

This can be solved to x=80.

miss Akunina [59]3 years ago
5 0

Answer:

80*

Step-by-step explanation:

Angle x + 80* add up to the vertical angle of 160*

So, 160* = x + 80*

80* = x

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What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
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3 years ago
The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall.
anyanavicka [17]

Answer:

the answer is 220 i calculated

7 0
1 year ago
What sequence matches a_(n)=2a_(n-1)+5, where a_(1)=5
tatuchka [14]

Answer:


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8 0
3 years ago
Jasmine has taken an online boating safety course and is now completing her end-of-course exam. As she answers each question, th
dsp73

Answer:

There are 60 total questions on the course exam.

Step-by-step explanation:

Given that:

Number of questions finished by Jasmine = 12

Percentage shown on the bar = 20%

The total number of questions will be 100%, therefore, 20% of the questions are equal to 12.

Let,

x be the total number of questions on the course exam

20% of x = 12

\frac{20}{100}x=12\\0.2x=12

Dividing both sides by 0.2

\frac{0.2x}{0.2}=\frac{12}{0.2}\\x=60

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8 0
3 years ago
A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs
Murrr4er [49]

Answer: Marked Prixe = Rs. 1800

Step-by-step explanation:

Let the marked price be M

1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.

SP = 0.88M

CP - SP = 16

CP = 16 + SP

CP = 16 + 0.88M

2) If he had sold it at 10% discount he would have gained Rs 20.

SP = 0.9M

SP - CP = 20

0.9M = 20 + CP

CP = 0.9M - 20

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0.9M - 0.88M = 20+16

0.02M = 36

36 = 0.02M

M = 1800

6 0
3 years ago
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