Can someone please help me with this

Mathematics

1 answer:

ddd [48]3 years ago

4 0

59°

Explanation:

In a parallelogram, opposite angles are equal.

m∠PSR = m∠PQR

⇒ 7x° – 5° = 6x° + 13°

⇒ 7x° – 6x° = 13° + 5°

⇒ x° = 18°

Therefore, m∠PSR = 7(18°) – 5° = 121°

In a parallelogram, sum of the adjacent angles is 180°.

So, m∠QPS + m∠PSR = 180°

⇒ m∠QPS + 121° = 180°

⇒ m∠QPS = 180° – 121°

⇒ m∠QPS = 59°

Hence, m∠QPS must be 59° for PQRS to be a parallelogram.

You might be interested in

Find five consecutive integers whose sum is 195.

Elodia [21]

X + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 195

(Make sure you don't add "x+5" because "x + 0" is an included term.)

5x + 10 = 195
5x = 185
x = 37

Hope this helps!

5 0

3 years ago

How to find slope when there is the y intercept and x-intercept?

natta225 [31]

First graph your x and y intercept then pick any two points on the line.
$\frac{rise}{run} = \frac{y2 - y1}{x2 - x1}$
that's the equation used to find your slope

Example:

(4,2) (8,6) let's say those are the points you pick from the line

so then you subtract 6-2=4 (6 is your y2 and 2 is your y1)

then subtracts 8-4=4 (8is your x2 and 4 is your x1)

then your left with
$\frac{2}{4}$
if you can reduce the reduce in this case you can which leaves you with
$\frac{1}{2}$
and that's how you find the slope

4 0

3 years ago

Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs Sandy $0.15, and the donut shop charge

murzikaleks [220]

Answer:

0.15x + 30 ≤ 100

0.15x ≤ 70

Step-by-step explanation:

7 0

3 years ago

Part A: Clancey and Ethan are starting new books. So far, Clancey has read 1/4 of his book, which has 240 total pages and Ethan

Nonamiya [84]