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iren2701 [21]
3 years ago
6

Katie has a 45% chance of making an A on her Algebra II test and a 55% chance of making an A on her economics test. What is the

probability that she will make an A on her Algebra II test and an A on her economics test?
A) 5%
B) 10%
C) 24.75%
D) 50%
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0
I think that the answer is B
gogolik [260]3 years ago
7 0
The answer would be D) 50%
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Suppose that LMN is isosceles with base LN suppose that M
ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

m\angle M=(39+17)^\circ

m\angle M=56^\circ

And,

m\angle N=m\angle L

m\angle N=62^\circ

Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

5 0
3 years ago
What do x and y equal?
olasank [31]
Y is equal to 23 and x is equal to 28. This is because you can move 3y over to the corner to its left that matches the position 3y is in. From there you set 3y + 5y -4 = 180 because the add up to a straight line. Then you get 23 for y and you can use that to make 3y=69. Use the 69 to set it equal to 2x +13 and solve to get x=28.
5 0
3 years ago
A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land
netineya [11]

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

A=(17.5yd)(37.5yd)=656.25yd^2

Hence, the area of the lot of land is 656.25 sq yd

5 0
2 years ago
Alejandro has 3 times as many playlists as Derrick does. Alejandro has 24 playlists. If d = the number of playlists Derrick has,
Sindrei [870]
That's it
3*d=24
d=24/3
d=8
5 0
3 years ago
Read 2 more answers
With the information given, can you prove this quadrilateral is a parallelogram?
jok3333 [9.3K]
Opposite sides are congruent and have the same slope.
6 0
2 years ago
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