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attashe74 [19]
3 years ago
6

I need the answers to the 2 blanks

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.

JL = JK + KL

Let's plug the expressions from the picture into the equation above.

2x + 8 = 2x - 2+ x - 9

Combine like terms

2x + 8 = 3x - 11

Add 11 to both sides and subtract 2x from both sides.

19 = x

KL = x - 9 = 19 - 9 = 10

In conclusion,

The value of x = 19

The length of line segment KL is 10

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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
6/4=x/18 what is the answer to this question or proportion
kotegsom [21]
The answer is x=27. your welcome. :)
4 0
3 years ago
Read 2 more answers
Doreen is flipping two fair coins. What is the probability that both coins land on heads?
andrezito [222]

Answer:

There are four different possible outcomes: both coins are heads, the red coin is heads and the blue coin is tails, the red coin is tails and the blue coin is heads, or both coins are tails. Each outcome has equal probability. So the probability of both being heads is 1/4.

Step-by-step explanation:


6 0
3 years ago
Pls help easy i thinkk
soldi70 [24.7K]

Answer:

1 1/2 miles

Step-by-step explanation:

if running 1 lap around a track is 1/2 miles then all we have to do is add it up

so we know that 1/2 miles is one lap

so if he runs two laps we would have run 1 mile

now that we know that he would have ran 1 mile in 2 laps then all we have to do it just add 1 more 1/2 mile in which would give u the answer of 1 1/2 miles or 1.5 miles

4 0
2 years ago
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How many times does 22 go into 53?
dexar [7]

Answer:

It only goes into it twice.

The decimal form is 2.40909091

6 0
3 years ago
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