Answer:
OQ = 16
PR = 32
m<QRS = 90 degrees
Step-by-step explanation:
Since we know that PQRS is a rectangle, we can use its properties to find that:
OQ, OS, OR, and OP are equivalent, meaning that they all equal 16. Therefore, OQ = 16.
PR = OR + OP, meaning that 16 + 16 = PR, meaning that PR = 32.
And finally, m<QRS = 90 degrees because all corner angles in a rectangle are right angles.
I hope this helps!
Answer:
<h2>
x=-3</h2>
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
Answer:
6.50
Step-by-step explanation:
15.75-9.25=6.5
Out of the six possible combinations shown in the tree, three of them have tails. Tails,1 tails,2 and tails,3 are the three possible solutions with tails. So the answer is C.
Answer:
x = 12.5
Step-by-step explanation:
The given triangle is a right angle triangle.
We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.
As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.
So,
cos θ= base/hypotenuse
cos 28=11/x
x=11/cos28
x=11/0.8829
x=12.45
Rounding off to nearest 10
x=12.5
