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zubka84 [21]
3 years ago
15

Prove that XR is equivalent to YP by using the terms in geometry, its just proofs

Mathematics
1 answer:
Sophie [7]3 years ago
3 0
PQRS is a parallelogram                   Given
SR=PQ                                               property of parallelogram
m∠S=m∠Q                                         property of parallelogram
SP=QR                                               property of parallelogram
XP=RY                                               given
SP-XP=QR-RY                                  substitution
SX=QY                                              segment subtraction
ΔSRX is conggruent to ΔQPY           SAS theorem (side-angle-side)
XR=YP                                              CPCTC (corresponding parts of                                                                          congruent triangles are congruent)

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The line with x-intercept of 10 and y-<br> intercept of -2.
Yuri [45]

Answer:

y = \frac{1}{5} x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)

m = \frac{-2-0}{0-10} = \frac{-2}{-10} = \frac{1}{5}

The y- intercept c = - 2

y = \frac{1}{5} x - 2 ← equation of line

8 0
2 years ago
Solve the equation 1/6(x - 5) = 1/2(x + 6)
Semmy [17]

Answer:

-23/2

Step-by-step explanation:

x-5=3(x+6)

x-3x=18+5

-2x=23

x=-23/2

5 0
2 years ago
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
worty [1.4K]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

3 0
3 years ago
What are the zeros of this function?
Hunter-Best [27]
If you need the y zero, you would take the 2 points on the graph of (3, 0) and (6, 0) so the 2 zero’s are 3, and 6.
3 0
2 years ago
Chealsea wants to rearrange her room
Llana [10]

Answer:

Good for her.

3 0
3 years ago
Read 2 more answers
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