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guajiro [1.7K]
3 years ago
11

30 pointsWhat is the value of y?Enter your answer in the box.y =

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, angle B and angle C have the same measure.  If angle B is 75, then so is angle C.  By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees.  That means that angle A = 180 - 75 - 75 which is 30 degrees.  Therefore,

Angle A = 30 degrees.   By the substitution property of equality,

4y + 10 = 30 and

4y = 20 so

y = 5

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Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi
irga5000 [103]

\huge\boxed{18\ \text{points}}

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with x, x+1, x+2, and x+3 respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to 78.

x+x+1+x+2+x+3=78

Now, simplify.

4x+6=78

Subtract 6 on both sides.

\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}

Divide both sides by 4.

\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

Since Louise's score is x, the answer is 18.

<h3>Double-checking</h3>

To verify our answer, add the point totals 18, 19, 20, and 21.

This equals 78, so we can be sure the answer is correct.

5 0
1 year ago
Solve the equation=3x =15​
kati45 [8]

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2 years ago
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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence
kumpel [21]
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Please answer this ASAP. The question is down below. Thank you!
Sonja [21]

Answer:

y = .5x^2 -2x -5

Step-by-step explanation:

Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )

In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.

This is not true for our parabola.

So we can widen it by to the desidered width by making the x^2 into a .5x^2.

So far we’ve got y = .5x^2

Now the parabola y intercept is at -5.

So we can add a -5 into the equation making it.

y = .5x^2 - 5

Now for the x value.

So we can find the x value by seeing how far away the parabola is from from the y axis.

So the x value is -2x.

So the full equation is y = .5x^2 -2x -5

Look at the image below to compare.

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dimaraw [331]
This isn't even math and there all wrong

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