1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
3 years ago
9

Parallelogram RSTU is shown.

Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

Answer:

  • alternate interior angles are congruent
  • corresponding parts of congruent triangles are congruent
  • definition of a parallelogram

Step-by-step explanation:

<u>Step Statement                                                  ⇒  Reason</u>

1    RSTU is a parallelogram                              ⇒  Given

2   Side RS || Side TU and Side RU || Side TS  ⇒ <u>definition of a parallelogram </u>

3    ∠RSU≅∠TUS and ∠RUS≅∠TSU                 ⇒ <u>alternate interior angles are congruent</u>

4     Side SU ≅ Side US                                      ⇒ reflexive property

5    ΔRSU≅ΔTUS                                                 ⇒ ASA postulate

6    Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ <u>corresponding parts of congruent triangles are congruent</u>

mixas84 [53]3 years ago
5 0

Answer:

-opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation:

I just did the test

You might be interested in
Evaluate the expression.<br><br> 24÷(−4)+(−2)⋅(−5)=
ValentinkaMS [17]

Answer:

<h3>The answer is 4.</h3>

3 0
2 years ago
Read 2 more answers
Scotty buys 10 bananas for $15. At this rate, how much will Scotty pay for 3 bananas?
ivolga24 [154]
Find what each banana costs by dividing the $15 dollars between the 10 bananas 15/10=$1.5 then times by 3 to get how much 3 bananas cost $1.5*3= $4.50
4 0
3 years ago
Estimate the percentage: 6,683 of 20,489<br> a. 0.3% c. 3%<br> b. 43.3% d. 33.3% Explain
Eduardwww [97]

Answer: B

Step-by-step explanation: B

6 0
2 years ago
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Varvara68 [4.7K]
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be x+y+z=1.

You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

The Lagrangian is

L(x,y,z,\lambda)=(x-4)^2+y^2+(z+5)^2+\lambda(x+y+z-1)

Take your partial derivatives and set them equal to 0:

\begin{cases}\dfrac{\partial L}{\partial x}=2(x-4)+\lambda=0\\\\\dfrac{\partial L}{\partial y}=2y+\lambda=0\\\\\dfrac{\partial L}{\partial z}=2(z+5)+\lambda=0\\\\\dfrac{\partial L}{\partial\lambda}=x+y+z-1=0\end{cases}\implies\begin{cases}2x+\lambda=8\\2y+\lambda=0\\2z+\lambda=-10\\x+y+z=1\end{cases}

Adding the first three equations together yields

2x+2y+2z+3\lambda=2(x+y+z)+3\lambda=2+3\lambda=-2\implies \lambda=-\dfrac43

and plugging this into the first three equations, you find a critical point at (x,y,z)=\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right).

The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
7 0
3 years ago
Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour
Dafna1 [17]

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

5 0
2 years ago
Other questions:
  • Which situation could be represented by equation y=25/2x +10 ?
    11·1 answer
  • The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base?
    11·2 answers
  • The width of a rectangle is 6 2/3 Inches. The length of the rectangle is twice it’s width. What is the perimeter of the rectangl
    12·1 answer
  • Somebody help me!!! <br> What is the area of the rectangle in the coordinate plane?
    10·1 answer
  • You roll a number cube numbered from 1 to 6. P(2, 6, 4 or 5) Express the probability as a fraction.
    10·1 answer
  • Help anyone please thanks
    10·2 answers
  • 2. Elle is buying new flooring for her kitchen
    10·1 answer
  • 30% of what number is 150? A. 500 B. 50 C. 45 D. 200
    14·2 answers
  • How do I write a phrase in words as an algebraic expression for 8/d?
    6·1 answer
  • Kendra has a painting canvas that is 22 inches wide by 38 inches high. She painted a red rose, which covered 30% of the canvas.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!