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3 years ago

Name the vertical angles in the diagram below:

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Hey there!

The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.

Hope it helps and have a good day!

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Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

the velocity of first car,

$v_1\ =\ 20i\ +\ 25j$

and the velocity of second car

$v_2\ =\ 30i$

=> speed of first car,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

$=\ \sqrt{400+625}$

$=\ \sqrt{1025}$

= 32.01 units

and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

= 30 units

$u_2\ -\ u_1\ =\ 32.01\ -30$

= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

8 0

3 years ago

If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.

lions [1.4K]

Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6

8 0

2 years ago

Combine like terms to create an equivalent expression.<br><br> 17−3(37n−27)71 −3( 73 n− 72)

patriot [66]

Answer:

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$

Step-by-step explanation:

Given : Expression $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

To find : Combine like terms to create an equivalent expression ?

Solution :

Step 1 - Write the expression,

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

Step 2 - Apply distributive property, $a(b+c)=ab+ac$

$=\frac{1}{7}-3\times \frac{3}{7}n+3\times \frac{2}{7}$

$=\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}$

Step 3 - Combine like terms,

$=\frac{1}{7}+\frac{6}{7}-\frac{9}{7}n$

$=\frac{1+6}{7}-\frac{9}{7}n$

$=\frac{7}{7}-\frac{9}{7}n$

$=1-\frac{9}{7}n$

Therefore, $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$

4 0

3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest ten

Nonamiya [84]

Answer:

26.92 min

if I'm not wrong!

4 0

3 years ago

Find the volume of the sphere. Express your answer in terms of pi.

den301095 [7]

Answer:

Sphere Volume = (4/3) * PI radius^3

Sphere Volume = (4/3) * 3 * 3 * 3 * PI =

4 * 3 * 3 * PI =

36 PI

Answer is d 36 PI cubic feet

Step-by-step explanation:

4 0

3 years ago

Name the vertical angles in the diagram below:​

Name the vertical angles in the diagram below: