9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
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The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
Answer:
option 4 ⇒ 236 lb.
Step-by-step explanation:
Best explanation of the question is as shown in the attached figure.
we will use the parallelogram method to calculate resultant force.
to get the length of the resultant force ⇒ use the cosines law
The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)
Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x
Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°
∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481
∴ Resultant force = √55481 = 235.54 ≅ 236 pounds
The answer is option 4 ⇒ 236 lb.
If there are 128 fluid ounces per US gallon, and there are 3 gallons, 3x128=384. The teacher brought 384 fluid ounces of juice on the feild trip.
Answer:
A. Side-Angle-Side (SAS).
Step-by-step explanation:
Sides go first. Side.
Angle next. Angle.
Side again. Side.
You got Side angle side.
Fifty , 50 20+30=50, not sure if its asking much else
