Solve for x Please help me with this
2 answers:
Answer:
x = 16, x = 17
Step-by-step explanation:
Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is
=
( cross- multiply )
20(2x - 5) = 22.5(x + 8)
40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )
17.5x - 100 = 180 ( add 100 to both sides )
17.5x = 280 ( divide both sides by 17.5 )
x = 16
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=
=
( cross- multiply )
28(5x - 4) = 54(2x + 8)
140x - 112 = 108x + 432 ( subtract 108x from both sides )
32x - 112 = 432 ( add 112 to both sides )
32x = 544 ( divide both sides by 32 )
x = 17
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Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
The following points are not arranged in a parallelogram or rectangle order.
Step-by-step explanation:
Well first we need to graph the following.
A(1,1) B(2,2) C(3,3) D(4,4)
By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.
It is a line with a slope of 1 or x.
