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2 years ago

I need help my grade depends on your answer!!

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Answer:

Angle 4 and Angle 5 are congruent.

Step-by-step explanation:

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Select all that apply.

lidiya [134]

Answer:

parallelogram, quadrilateral

Step-by-step explanation:

a rectangle is a quadrilateral because it has 4 sides.

it is a a parallelogram because it has two sets of parallel lines in those four sides.

in order for a quadrilateral to be a rhombus, all sides must be the same length. (if a rectangle is a rhombus, it is a square.)

5 0

2 years ago

Read 2 more answers

Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl

GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane $n=(-2,-2,1)$ , then r will have the next parametric equations:

$x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda$

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

$-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3$

Substitute the value of $\lambda$ in the parametric equations:

$x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\$

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

$d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u$

7 0

2 years ago

Giving loads of points to anyone who can answer these questions or even just most of them correctly!!!

cestrela7 [59]

Answer:

below :)

Step-by-step explanation:

1) 12

2}3/2

3)224.64

4)2 quarters

5)w=50

6)m=6y+7

7)42/6=7 x=6

8 0

1 year ago

Evaluate x2 + 3x ; x = -3

stepladder [879]

The answer would be -15

5 0

2 years ago

When 3 times the number x is subtracted from 20, the result is 14. What number results when 4 times x is added to 5?

Vladimir [108]

Answer:

50.3

Step-by-step explanation:

I think

3 0

2 years ago