Answer:
A) mPQ = 71º
B) mSR = 161º
C) mQRT = 199ª
D) mPSR = 270º
E) mPS = 109º
Step-by-step explanation:
We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.
If we subtract 19º from 90º we get 71º for mPQ.
We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.
Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.
A circle is 360º and a right angle is 90º. That means that mPSR is 270º.
Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º
Answer:
D
Step-by-step explanation:
The diagram is composed of one large right triangle and inside it it's divided into 2 small right triangles. Since these triangles all have the same shape but not the same size, they are similar triangles. Using similar triangles, create a proportion of side lengths. A proportion is an equation with equal ratios from the large triangle to a small. Notice the large triangle has a hypotenuse of 6+7 = 13 and a leg of x. The small triangle has a hypotenuse of x and a leg of 7.
To solve for x, cross multiply the numerator with the denominator.
Answer:
1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.
2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.
Step-by-step explanation:
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Answer:
0<=x<10 or [1,10)
Step-by-step explanation:
You need to solve this using logarithms. I will use natural logarithms (LN on your calculator)
15,000 is the initial price of the car because 0.88^0=1.
All we need is 0.88^x>0.1
Remember that the logarithm of a^b is b*LN(a).
x*LN(0.88)>LN(0.1)
x<LN(0.1)/LN(0.88)
The relation changes from > to < because we are dividing by LN(0.88) which is negative.
The calculator now yields
LN(0.1)/LN(0.88)=10
So, x<10 years. But you buy the car at x=0, hence the relevant domain is.
0<=x<10 or [1,10)
