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kolezko [41]
4 years ago
13

EASY BRAINLEST! ONLY TWO QUESTIONS I NEED HELP ASAP!!

Mathematics
1 answer:
mash [69]4 years ago
6 0

Step-by-step explanation:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

You might be interested in
determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
Delicious77 [7]

Answer:

They are not similar

Step-by-step Explanation:

For two polygons to be considered similar, two conditions must be met:

1. The ratio of their corresponding sides must be equal, and must have the same scale factor.

2. Their corresponding angles must be the same. That is, the corresponding angles must be congruent.

Now let us examine the two polygons ( ∆AYP and ∆BOX) given to ascertain if they are similar.

First, we can observe that only two of their corresponding sides were given. The third corresponding side, "YP/OX" is not given. This makes it difficult for us to tell if the polygons are similar, if we are to base our conclusion on merely considering the ratio of their corresponding sides.

Although, the two given corresponding sides (AY/BO & AP/BX), both have equal ratio ⅖, i.e. AY/BO = AP/BX = ⅖. This is not enough to tell both polygons are similar, as we cannot tell if the third corresponding side would give us same ratio, since it wasn't given in the diagram.

==>Next is to examine the interior angles of the polygons, whether the measure of their corresponding angles are the same.

Thus, from the diagram, we can see that two angles of the each triangle were given. We can find the measure of the third angle not given since we know that sum of the interior angles of a triangle = 180°

Thus, <P in ∆AYP = 180 - (90+20) = 180 - 110

<P = 70°

Thus, <B in ∆BOX = 180 - (90+80) = 180 - 170

<B = 10°

From the above calculation, comparing both polygons having known the measures of their corresponding angles, we can conclude that both polygons given in the question are not similar.

This is because the measure of their corresponding angles are not congruent.

<A is not congruent to <B, so likewise with <P and <X.

4 0
3 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
mary purchased 3 1/2 pounds of bananas. If the loaf of banana bread requires 3/4 pounds of bananas, how many loaves of banana br
nikklg [1K]
For this one a simple way that you can think of it is that 1 pound of banana is equivalent to 100, 3/4 pounds of banana is 75, 1/2 pounds of banana is 50, etc. 

3 1/2 pounds of banana = 350 

3/4 pounds of banana = 75 

If i want to find out how many loafs of banana bread I can make if ONE loaf requires 3/4 pounds of banana, and i have 3 1/2 pounds of banana then I divide:

350 / 75 = 4.66 

So, with 3 1/2 pounds of bananas you can successfully create 4 loafs of banana bread. the remaining .66 is not enough banana to make another loaf. 
8 0
3 years ago
Read 2 more answers
If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following:<br><br> ln(a^-4/b^1 c^1)
Mila [183]
Ln ( a^(-4) / b^1  c^1 ) =
= ln a ^(-4) - ( ln b + ln c ) =
= - 4 ln a - ln b - ln c =
= - 4 * 2 - 3 - 5 =
= - 8 - 3 - 5 = - 16
4 0
3 years ago
QUESTION 8
vfiekz [6]
54 percent

You add the two together to get 39, then divide 21 by 39. This gives you 0.538, which turns into 54%
7 0
3 years ago
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