Answer:
Step-by-step explanation:
So first we notice that the traingles are similar which makes my work much easier.
27:42 can be simplified to 9:14.
That means x is 28
And sharks to dolphins is 12.
That means the smaller triangle is 27 18 12 and the bigger triangle is 42 28 and x. Try and do it yourself if you can't just comment and I'll help you :)
1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.
That means that angle ROP and angle RQP are supplementary.
We can add them and set them equal to 180 so that we can solve for x first.
∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24
Now use the 24 for x and solve for the measure of angle ROP.
∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41
The answer is A
2) The answer is A.
Hope this helps :)
Let's call trade balance b, exports e and imports i.
We now construct formula.
Put in the data from last year.
U.S trade balance for that year is -690 billion dollars.
The value of x of a circle with radius x + 1.5 and diameter of 9 2 / 5 cm is 7.9 cm
<h3>Radius of a circle</h3>
Radius of a circle is half of the diameter of a circle. The radius extend from the centre of the circle to the circumference.
Mathematically,
radius = 1 / 2 (diameter)
Therefore,
radius = (x + 1.5) cm
diameter = 9 2 / 5 cm = 47 / 5 cm
let's find x with the relationship above.
Therefore,
x + 1.5 = 47 / 5
subtract 1.5 from both sides
x + 1.5 - 1.5 = 9.4 - 1.5
x = 7.9 cm
learn more on radius here: brainly.com/question/12183018
Answer:
Step-by-step explanation:
f(x) = 2x2
Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}
