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3 years ago

Hey you guys I am having a LOT of trouble.... HeLp a SiStEr OuT PLeZ

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

<h2>Explanation:</h2><h3>1.</h3>

The little square box in the corner between the vertical line and the horizontal one is a symbol indicating that angle is a right angle. It has a measure of 90°. The angles designated 1 and 2 together add up to that 90°. When angles sum to the value 90°, they are called "complementary" angles.

Since angles 1 and 2 also share a side and a vertex, they are also "adjacent" angles.

The appropriate choices are ...

complementary angles
adjacent angles

___

The same lines define the sides of angles 1 and 2, and they share a vertex. However, they are not adjacent. They are ...

vertical angles

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The angles marked 157° and x° together add up to make a line, so they are supplementary (their total is 180°). They also share a vertex and a side, so they are adjacent. The appropriate choices are ...

supplementary angles
adjacent angles

___

When two angles total 180°, they are <em>supplementary</em>, whether they have any common parts or not. Since 98° + 82° = 180°, ...

The angles are supplementary

You might be interested in

Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp

Maslowich

If $p(3-2i)=0,$ then complex number $3-2i$ is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated $3+2i$ is also a root of polynomial.

Then the polynomial will be of a form

$p(x)=(x-(3-2i))(x-(3+2i))(x-a).$

Since $p(0)=-52,$ then

$-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.$

Therefore,

$p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.$

3 0

2 years ago

A+b=95<br> 4a+1.50b=267.5

Papessa [141]

9514 1404 393

Answer:

a=50
b=45

Step-by-step explanation:

We can subtract the second equation from 4 times the first:

4(a +b) -(4a +1.5b) = 4(95) -(267.5)

2.5b = 112.5 . . . . . simplify

b = 45 . . . . . . . . . . divide by 2.5

a = 95 -b = 50 . . . find 'a'

The solution is (a, b) = (50, 45).

5 0

2 years ago

It takes Olivia 12.5 minutes to swim 20 laps around the pool what's Olivia's unit rate

Tom [10]

Her swimming rate can either be written as 1.6 laps per (one) minute or as 0.625 minutes per lap = 37.5 seconds per (one) lap.
In terms of number of laps per minute, the answer is
20
laps
12.5
minutes
=
1.6
laps per minute.

In terms of the number of minutes per lap, the answer is
12.5
minutes
20
laps
=
5
8
=
0.625
minutes per lap. This is the same as
0.625
min
lap
⋅
60
sec
min
=
37.5
sec
lap

The faster she goes, the more laps she can do in a minute and the fewer minutes (or seconds) it takes her to do one lap.

6 0

2 years ago

What is 163,653÷200 ?

Vikentia [17]

Answer:

818.265

Step-by-step explanation:

6 0

2 years ago

Please help me on this problem.

Aliun [14]

Answer:

There are 30 different ways to order

Step-by-step explanation:

what you do is multiply 3 ( kinds of coffee) by 5 ( kind of pastries) and by 2 ( kinds of sweetener)

with the formula being 3 X 5 X 2 = 30

6 0

2 years ago