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stich3 [128]
3 years ago
9

How do you solve this pls help!!!​

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

y = 1

x = -0.75

Step-by-step explanation:

The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.

21y - 1 = 4x + 23

21y - 24 = 4x

5.25y - 6 = x

21y - 1 = 4x + 23

21y = 4x + 24

y = 4/21(5.25 - 6) + 1.14

y = 1 - 1.14 + 1.14

y = 1

5.25(1) - 6 = x

-0.75 = x

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What is the length of s?​
vovangra [49]

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

  • 0.70710678118 = \frac{12}{s}, and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

  • \frac{0.70710678118}{1} =\frac{12}{s}

Cross multiply.

  • 0.70710678118s = 12

Divide both sides by sine(45 degrees).

  • s = 16.97

The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

  • (12)^2 + (12)^2 = c^2

Evaluate the exponents.

  • 144 + 144 = c^2

Add them together.

  • 288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

6 0
4 years ago
Need help with this please.​
rusak2 [61]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
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tatuchka [14]
He thought 28% of the movies he’s watched were good
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Gideon asked 50 students at his middle school which option they would like for lunch: pizza, sandwiches or burritos. Ten student
viva [34]

Answer:

72% of students chose burritos

Step-by-step explanation:

first you would add up the total of kids that said they liked the other two options, which was pizza and sandwiches: 10+4=14

then you would take that number and subtract it from the total of all students: 50-14=36

and then you would take that number and divide it by 50: 36/50=.72

turn that into a percent and you'd get 72%

7 0
3 years ago
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