Answer:
Marcus had saved <u>$31.25</u>.
Step-by-step explanation:
Given:
Leonard and Marcus saved up a total of $47.00.
Leonard has saved 3 dollars less than 3/5s as much as Marcus.
Now, to get the amount Marcus saved.
Let the amount Marcus saved be
The amount Leonard saved =
And total they both saved = $47.00.
Now, to get the money Marcus saved:
<em>Multiplying both sides by 5 we get:</em>
<em>Adding both sides by 15 we get:</em>
<em>Dividing both sides by 8 we get:</em>
Therefore, Marcus had saved $31.25.
Answer:
x>-9
Step-by-step explanation:
Look at the denominator,
since (x-6)/(x+9) is a fraction,
x+9=0
x=0-9=-9,
so x must be any number greater/larger than -9 in order to let the whole fraction be less than 1.
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
I’m pretty sure the answer to this is 1,932,934.