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postnew [5]
2 years ago
9

What is the measure of ZB? A. 55° B. 35° C. 125° D. 65°

Mathematics
2 answers:
astraxan [27]2 years ago
6 0

Answer:

A. 55°

Step-by-step explanation:

The angle C is 90°. And angle B is 35°. Add them.

125°

Every triangle is 180°.

So to find B, the missing side, subtract 125 from 180.

So 180-125.

Which is 55.

Hope this helps

BARSIC [14]2 years ago
3 0

Answer:

A . 55° is the answer for that.

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In this question it basically wants you to leave Y alone in a side of the equation.

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2 years ago
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

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3 years ago
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FromTheMoon [43]
She will likely finish the graduation sessions in less time.
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2 years ago
Timothy and his brothers are selling lemonade and cookies to raise funds for a camping trip. Paul bought two cups of lemonade an
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2 years ago
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

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