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2 years ago

14

Which expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. 3(a−b) and 3a−3b 2a(2+b) and

4ab

2 answers:

Lapatulllka [165]2 years ago

5 0

The first one is <span>Equivalent and the second is nonequivalent</span>

zysi [14]2 years ago

5 0

i just took the test, the first one is equivalent and the second one is not.

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The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population

Semenov [28]

Answer:

13.375 times

Step-by-step explanation:

1,070,000 times 2=2,140,000. 2,140,000 divided by 160,000=13.375.

3 0

2 years ago

Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in

Tju [1.3M]

The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1

5 0

3 years ago

Read 2 more answers

Solve: 3(2x+1)-2(x+5)-5(5-2x)=16 value of x?

makvit [3.9K]

Step-by-step explanation:

3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16

6x + 3 - 2x - 10 - 25 + 10x = 16

6x - 2x + 10x = 16 - 3 + 10 + 25

14x = 48

x = 48/14

x = 24/7

7 0

2 years ago

Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

2 years ago

Cos(0°) = sin(0°) = tan(0°) =

MrMuchimi

Cos(0)= 1
sin(0)= 0
tan(0)= 0

P.S I don’t have the degree symbol on my phone, sorry.

4 0

2 years ago