All categories

4 years ago

In the diagram, POS,QOT and UOR are straight lines. Find the value of y.

Mathematics

1 answer:

fgiga [73]4 years ago

4 0

Answer:

y = 15°

Step-by-step explanation:

Since ∠QOR and ∠UOT are vertical, they are congruent so ∠UOT = 5y. Since POS is a straight line (which has a measure of 180°) and ∠POS = ∠POU + ∠UOT + ∠TOS, we can write:

5y + 5y + 2y = 180

12y = 180

y = 15°

You might be interested in

Draw the next term if this represents an

Eva8 [605]

Answer:

keep stacking

Step-by-step explanation:

all it is doing is stacking

3 0

1 year ago

Find the area of the circle

Dmitry [639]

Answer:

To find the area of a circle you use the formula $a=\pi r^{2}$

r is the radius so plug that in.

if you only have the diameter, just divide that number by 2 to get the radius

6 0

4 years ago

Factor completely x2 − 36

Hoochie [10]

X² - 36 = x² - 6² = (x-6)(x+6)

5 0

3 years ago

For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)

ratelena [41]

Answer:

$\displaystyle (f\circ g)(-1) = 5$

Step-by-step explanation:

We are given the two functions:
$\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2$

And we want to find:
$\displaystyle (f\circ g)(-1)$

Recall that this is equivalent to:
$\displaystyle (f\circ g)(-1) = f(g(-1))$

Hence, find g(-1):
$\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}$

Substitute:
$\displaystyle f(g(-1)) = f(1)$

Find f(1):

$\displaystyle \begin{aligned} f(x) & = 2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}$

In conclusion:
$\displaystyle (f\circ g)(-1) = 5$

5 0

3 years ago

Need help with number 12 n 13 Asap

Arlecino [84]

Step-by-step explanation:

it's explained in the solution

7 0

3 years ago

In the diagram, POS,QOT and UOR are straight lines. Find the value of y.​

In the diagram, POS,QOT and UOR are straight lines. Find the value of y.