Pls help me christmas break hw

Segment XY bisects angle WXZ and angle mZXY = 37 degrees. Find angle mWXY and angle mZXW

Vadim26 [7]

we know that

The angle bisector, is the line or line segment that divides the angle into two equal parts.

So

in this problem

m∠ZXW=m∠WXY+m∠ZXY

m∠WXY=m∠ZXY

Part a) Find the value of m∠WXY

m∠ZXY=37°-----> given value

so

m∠WXY=m∠ZXY=37°

therefore

the answer part a)

The measure of angle WXY is equal to 37°

Part b) Find the value of m∠ZXW

m∠ZXW=m∠WXY+m∠ZXY

m∠ZXW=37°+37°=74°

therefore

the answer part b) is

the measure of angle ZXW is 74 degrees

8 0

3 years ago

What is the number whose 4/5 is 144?

anyanavicka [17]

Answer:

180

Step-by-step explanation:

Multiply 144 by the reciprocal of $\frac{4}{5}$ , that is

The reciprocal of $\frac{4}{5}$ is $\frac{1}{\frac{4}{5} }$ = $\frac{5}{4}$ , then

$\frac{5}{4}$ × 144 = $\frac{5(144)}{4}$ = 180

3 0

3 years ago

Help me please show how you got the answer

Lilit [14]

Answer:

Firstly you need to put the equation in form of. y =ax+b

Let us do it

We have

2x-2y=18

-2y=18-2x

-y=(18) /2 - (2x)/2

-y =9-x

Mutiply by - to remove it beside y

Y=-9+x

Which is y=x-9

Slope =a=1

Yintercept=b=-9

3 0

3 years ago

Which data set could be represented by the box plot shown below?

Fudgin [204]

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

Minimum Value
First Quartile, $Q_1$
Median, $Q_2$
Third Quartile, $Q_3$
Maximum Value

In the box plot, the following rules applies

The whisker starts from the minimum value and ends at the first quartile.

The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

Minimum Value=1
First Quartile =6

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

Median=12
Thrid Quartile=16

The right whisker extends from 16 to 19.

Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

6 0

3 years ago

What is the value of (fog) (-5)

DochEvi [55]

$f(x)=2x+1,\ g(x)=x^2\\\\(f\circ g)(x)=2(x^2)+1=2x^2+1\\\\(f\circ g)(-5)=2(-5)^2+1=2(25)+1=50+1=51$

6 0

4 years ago