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3 years ago

Find x and then Find y

Mathematics

2 answers:

sattari [20]3 years ago

6 0

Answer:

x=45y=30

Step-by-step explanation:

since its a triangle the corner have to be 75 each and the only way that the smaller circle sums to 180 is if X= 45 then 75-45=30

Shtirlitz [24]3 years ago

3 0

Answer:

x=45

y=30

Step-by-step explanation:

We know that there are two isosceles triangles which means two of the angles in the triangle are equivalent. We can use this to first solve for x

180-90=2x (This is for the smaller triangle)

90=2x

x=45

Now we find the measure of the angle in the bigger triangle.

(180-30)/2=150/2=75

Since y+x=75

y=75-x

y=75-45

y=30

You might be interested in

Write an equation (in slope-intercept form) that is parallel to 4x + 5y = 10 and has the same y-intercept as -3x - 4y = 24.

mart [117]

Answer:

y = -4/5 x - 6

Step-by-step explanation:

First turn both standard form equations to slope-intercept form.

4x + 5y = 10 -3x - 4y = 24

-4x -4x +3x +3x

5y = -4x + 10 -4y = 3x + 24

5 5 -4 -4

y = -4/5 x + 2. y = -3/4 x - 6

Now that you have each in slope-intercept form, we can begin the magic.

So we know that this line's y-intercept will be -6.

Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be

y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.

Hope this helped :)

7 0

3 years ago

PLEASE HELP ME IT SOULD MEAN ALOT

andriy [413]

Tan(32deg) = AC / 13.76

AC = 8.5982...

6 0

3 years ago

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a ye

Alex Ar [27]

Answer:

restaurant: 89
car: 43
home: 59

Step-by-step explanation:

Let r, c, h represent the numbers of purchased meals eaten in a restaurant, car, or home, respectively. The given data tells us ...

r + c + h = 191

-r + c + h = 13

r + 0c - h = 30

___

Subtracting the second equation from the first, we have ...

2r = 178

r = 89

Substituting into the third equation gives ...

89 -h = 30

h = 59

Then substituting into the second equation, we have ...

-89 +c +59 = 13

c = 43

The number of purchased meals eaten in a restaurant is 89; in a car, 43; and at home, 59.

_____

Comment on the solution

We have used an ad hoc method of solution of these equations. This is a result of the observation that the only difference in the first two equations is the sign of "r". Knowing r, the last equation lets us find h. Then we can use either of the first two equations to find c.

There are algorithmic methods of solving a system of 3 equations in 3 unknowns. One of these is Cramer's Rule. Row reduction or elimination techniques are not so different from what we have done. The difference is in the presentation. For some of the elimination techniques, a matrix form, or augmented matrix form, of the equations is used.