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2 years ago

What are the angle measures of X and Z?

Mathematics

1 answer:

anyanavicka [17]2 years ago

6 0

Answer:

m∠Z=146

m∠X=34

Step-by-step explanation:

Since this is an Isosceles Trapezoid, we can assume that m∠Z=m∠Y, because an isosceles trapezoid has two pairs of congruent angles, therefore m∠Z=146.

Since angle Y and Angle X are same side interior and line ZY║WX, we can assume that m∠X+m∠Y=180. Substitute values:

$146+X=180\\Y=34$

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Define the points P(negative 4−4,negative 2−2) and Q(33,negative 4−4). Carry out the following calculation. Find two vecto

slega [8]

Answer:

The required vectors are $u=$ and $v=$ .

Step-by-step explanation:

Given information: P(-4,-2) and Q(3,-4).

We need to find the two vectors parallel to $\overrightarrow {QP}$ with length 2.

If $A(x_1,y_1)$ and $B(x_2,y_2)$ , then

$\overrightarrow {AB}=$

$|\overrightarrow {AB}|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above formula we get

vector QP is,

$\overrightarrow {QP}==$

Magnitude of vertor QP is,

$|\overrightarrow {QP}|=\sqrt{(-4-3)^2+(-2-(-4))^2}$

$|\overrightarrow {QP}|=\sqrt{(-7)^2+(2)^2}$

$|\overrightarrow {QP}|=\sqrt{49+4}$

$|\overrightarrow {QP}|=\sqrt{53}$

Using vector is

$\widehat {QP}=\frac{\overline {QP}}{|\overline {QP}|}$

$\widehat {QP}=\frac{1}{\sqrt{53}}$

$w=\widehat {QP}=\frac{1}{\sqrt{53}}$

Multiply vector w by 2 to get a parallel vector parallel of QP in same direction.

$u=2w=$

Multiply vector w by -2 to get a parallel vector parallel of QP in opposite direction.

$v=-2w=$

Therefore the required vectors are $u=$ and $v=$ .

8 0

3 years ago

I need help... the question is confusing

ziro4ka [17]

$\bf \stackrel{line~J}{y+8=-(x-2)}\implies y+8=-x+2
\\\\\\
y=-x-6\implies y=\stackrel{slope}{-1}x-6$

now we know the slope of line J is -1.

a line perpendicular to J, will have a negative reciprocal slope, therefore,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -1\implies \cfrac{-1}{\underline{1}}\\\\
negative\implies +\cfrac{1}{{{ \underline{1}}}}\qquad reciprocal\implies + \cfrac{{{ \underline{1}}}}{1}\implies 1$

therefore, line K has a slope of 1, and passes through 3,4,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 3}} &,&{{ 4}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 1
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=1(x-3)\implies y-4=x-3
\\\\\\
y=x+1$

8 0

3 years ago

X + (-4) = -2 <br> What does X repesents??? Please help

Nonamiya [84]

Answer:

x=2

Step-by-step explanation:

x+(-4) is the same as x-4

First you have to get X alone so you add 4 to both sides because when you add 4 to both sides it will take away the 4 on the x side.

x-4=-2

+4 +4

x= -2+4 or you can see this as 4-2 which is 2