The answer that I got was side WX = 12 inches
It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.
With this information I set up an equation:
3m-4 + 3m-4 +m = 76
(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).
I combined like terms on the left side and ended up with:
7m-8=76
I added 8 to both sides of the equation and got 7m=84.
Finally I divided both sides by 7 and got m=12
m is equivalent to side WX..
Hope this helps!
Answer:
1347 hours
Step-by-step explanation:
Assuming the income is <u>net income</u> (total after taxes etc.):
- Cost of car = $17,500
- Net income = $13 per hour
To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

We have to round the number up to <u>1347 hours</u>, as only $17,498 will be saved if 1346 hours are worked.
The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:
⇒ 1347 ÷ 40 = 33.675
So it would take 34 weeks, working an average of 40 hours a week and not spending <u>any</u> of the money earned, to save enough to purchase the car.
In Δ ABC, ∠A=120°, AB=AC=1
To draw a circumscribed circle Draw perpendicular bisectors of any of two sides.The point where these bisectors meet is the center of the circle.Mark the center as O.
Then join OA, OB, and OC.
Taking any one OA,OB and OC as radius draw the circumcircle.
Now, from O Draw OM⊥AB and ON⊥AC.
As chord AB and AC are equal,So OM and ON will also be equal.
The reason being that equal chords are equidistant from the center.
AM=MB=1/2 and AN=NC=1/2 [ perpendicular from the center to the chord bisects the chord.]
In Δ OMA and ΔONA
OM=ON [proved above]
OA is common.
MA=NA=1/2 [proved above]
ΔOMA≅ ONA [SSS]
∴ ∠OAN =∠OAM=60° [ CPCT]
In Δ OAN


OA=1
∴ OA=OB=OC=1, which is the radius of given Circumscribed circle.
-(-9) - 14 - (6) + 5 + (-8) - 2 - (11) - (-2)
9 - 14 - (6) + 5 + (-8) - 2 - (11) - (-2)
-5 - (6) + 5 + (-8) - 2 - (11) - (-2)
-11+ 5 + (-8) - 2 - (11) - (-2)
-6+ (-8) - 2 - (11) - (-2)
-14 - 2 - (11) - (-2)
-16 - (11) - (-2)
-27+2
-25
Choice A
Answer:
Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.
Step-by-step explanation: