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kvasek [131]
2 years ago
15

When p = 12, t = 2, and s=1/6, r= 18. Ifr varies directly with p and inversely with the product of s and t, what is the

Mathematics
1 answer:
den301095 [7]2 years ago
3 0

Answer:

C

Step-by-step explanation:

Cause it is

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Three vertices of parallelogram ABCD are A(2,-6),B(-1,2),C(5,3).find the coordinates of vertex D
salantis [7]

Check the first picture below.


for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.

if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.

notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.


now, for part atop

Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.

in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.


now, about QRST.

notice what we said about a parallelogram above, thus


\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}


so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.

∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.

and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.

∡T ==> 180 - 109 ==> 71°.

3 0
3 years ago
GEOMETRY PROOFS:
Marina CMI [18]

Answer:

Statement 2: ∠BAC = ∠CZY

Reason 3: Vertically opposite angles

Statement 4: YC = CB

Reason 5: AAS (Angle, Angle, Side)

Reason 6: Corresponding sides, congruent triangles

8 0
3 years ago
A bookkeeper has a balance of $83.92. If she collects $76.75
kotegsom [21]

Answer:

The bookkeeper already has a balance of 83.92.  She collects 76.75 so that's 83.92+76.75 which equals to 160.67.  Then she pays out 38.58 so that's a deduction to what she already has.  160.67-38.58=122.09.

SO the bookkeeper has $122.09 left.

5 0
3 years ago
What is the answer to this and how do I do this problem?
DaniilM [7]

Answer:

  B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

  BC = 5 -(-2) = 7

The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

  AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

  AB = √100 = 10

__

  AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

  AC = √65 ≈ 8.06

__

So, the perimeter is ...

  P = AB +BC +AC

  P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B

5 0
2 years ago
Which of the following inequalities has the solution set shown on the graph?
PilotLPTM [1.2K]

Answer:

option A)  y > 5/4x + 10

Step-by-step explanation:

Take any point in the shaded region

( -12 , 1)

y > 5/4 x + 10

1 > 5/4 * (-12) + 10

1 > 5*(-3) +10

1 > -15 + 10

1 > -5

(-12 , 5) satisfies the equation.

7 0
2 years ago
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