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4 years ago

Two angles are congruent and supplementar

1 answer:

6 0

<span>You are told that the two angles are supplementary. That means that when you add the measure
of angle A (call it mA) and the measure of angle B (call it mB) the resulting sum is 180 degrees.
This relationship can be written in equation form as:
.
mA + mB = 180
.
You are also told that the two angles are congruent. This means that their measures
are equal. You can write this relationship as the equation:
.
mA = mB
.
From this second equation you can see that wherever you have mA you can substitute mB
in its place because they are equals. So go back to the equation:
.
mA + mB = 180
.

In place of mA substitute mB. This makes the equation become:
.
mB + mB = 180
.
On the left side you can see that the sum is 2 times mB or 2*mB. Make this simplification
to get:
.
2*mB = 180
.
To solve for mB divide both sides of this equation by 2. When you do that division the
equation reduces to:
.
mB = 180/2 = 90
.
This tells you that the measure of angle B is 90 degrees, and that means that the measure
of angle A is also equal to 90 degrees because the two angles are congruent.

I hope this helps!</span>

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Please help me ASAP:

gogolik [260]

If the first increase was 50%, that means that the price between the first and the second increase is 150% of the original. And as you need 6 (which is 4*150%) times the original, the price was increased for 450%. So, the last peecent increase is
$\frac{450}{150} \times 100\% = 300\%$

5 0

3 years ago

Read 2 more answers

Can someone please answer this I don’t understand!

Dovator [93]

The coordinates of X are (5, 11).

Solution:

Given points of the line segment are P(2, 2) and T(7, 17)

Let X be the point that partitions the directed line segment PT in the ratio 3 : 2

Using section formula, we can find the coordinate of the point that partitions the line segment.

Section formula:

$$X(x, y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=2, y_{1}=2, x_{2}=7, y_{2}=17$ and m = 3, n =2

Substitute these in the section formula,

$$X(x, y)=\left(\frac{3 \times 7+2 \times 2}{3+2}, \frac{3 \times 17+2 \times 2}{3+2}\right)$

$$=\left(\frac{21+4}{5}, \frac{51+4}{5}\right)$

$$=\left(\frac{25}{5}, \frac{55}{5}\right)$

$=(5, 11)$

X(x, y) = (5, 11)

The coordinates of X are (5, 11).

6 0

3 years ago

Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.

Georgia [21]

Answer:

(-3,-1)

Step-by-step explanation:

For the answer (-2,2) you are moving 7 units. (5,3) you are moving 7 units as well. For (3,4) you are moving 6 units. By process of elimintaion, we know the answer is (-3,-1).

6 0

3 years ago

List 0.5 1/5 0.35 12/25 4/5 from least to greatest

Anika [276]

One way is to make them all decimals or all fractions:

.5 .2 .35 .48 .80 are the numbers above changed to decimals.
I will make them the same length (two digit past the decimal point) to compare
.50 .20 .35 .48 and .80

Now it is easy to put them in order

.2 .35 .48 .5 and .80

Let's put them into all fractions

5/10 1/5 35/100 12/25 and 4/5

Instead of finding a common denominator let's try this:
Think of them as test scores - the person who got 1 out 5 did the worst
Next came the person who got only 35 out of 100 - they only did better than the one above (1/5)
12/25 is almost 1/2 but a little below half the questions right
5/10 is exactly half the questions right (so it is bigger than 12/25 by a little).
4/5 is the best score (and the only one who passed).
So 1/5, 35/100, 12/25, .5 and 4/5 are in order least to greatest and match the answer above in bold.

3 0

4 years ago

Read 2 more answers

The correct answer is a right?

svetoff [14.1K]

We can see that a and b are parallel, and c and e are parallel, so the correct option is E.

<h3>Which line must be parallel?</h3>

On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.

Then, lines a and b must be parallel.

For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.

Finally, for line e, we can see that the known angle is on the first quadrant.

Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.

So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).

Then c and e are parallel.

Then A and C are true.

Thus, the correct option is E.

If you want to learn more about parallel lines:

brainly.com/question/24607467

#SPJ1

5 0

2 years ago