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DiKsa [7]
3 years ago
9

Find the values of x and y ​

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

x=15\\y=38

Step-by-step explanation:

By definition, the sum of the interior angles of a triangle is 180 degrees.

You can observe that the  given triangle has an angle that measures 90 degrees and it also has two equal sides.This means that  the other two angles are equal.

Knowing this, you can conclude that the triangle  is an Isosceles Right Triangle and the other angles measure 45 degrees each.

Therefore, now you know that:

3x=45

Solving for "x", you get that its value is:

x=\frac{45}{3}\\\\x=15

And for the other angle:

y+7=45

Solving for "y", you get that its value is the following:

y=45-7\\\\y=38

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Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: a_n = a_1 + (n-1)d, where

a_n is the nth term in the output

a_1 is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

a_n = 3 + (n-1)6 = 3 + 6(n-1)

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

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Answer:

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Answer ASAP! Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
vlabodo [156]

Answer: is If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.

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Finger [1]

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

AB=AC                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

\angle B\cong \angle C

m\angle B\cong m\angle C

m\angle B\cong 49^\circ

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

m\angle ADB=90^\circ

x^\circ=90^\circ

In triangle ABD,

m\angle DAB+m\angle ABD+m\angle ADB=180^\circ         [Angle sum property]

y^\circ+49^\circ+x^\circ=180^\circ

y^\circ+49^\circ+90^\circ=180^\circ

y^\circ=180^\circ-49^\circ-90^\circ

y^\circ=41^\circ

Therefore, the correct option is B.

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