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4 years ago

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Which expression is equivalent to 8 + 18a - 2 + 6a?

1 answer:

kiruha [24]4 years ago

6 0

<span>8 + 18a - 2 + 6a
= 24a + 6

answer is </span><span>D. 24a+6</span>

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In the diagram, StartFraction S Q Over O M EndFraction = StartFraction S R Over O N EndFraction = 4.

Viktor [21]

Answer:

MN and QR should be used to prove that the triangles are similar by the SSS similarity theorem ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of similarity:

AAA similarity : two triangles are similar if all three angles in the first triangle equal the corresponding angle in the second triangle
AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar.
SSS similarity : If the corresponding sides of the two triangles are proportional, then the two triangles are similar.
SAS similarity : In two triangles, if two sets of corresponding sides are proportional and the included angles are equal then the two triangles are similar.

In Δs MNO and QRS

∵ SQ = 60

∵ OM = 15

- Find the ratio between SQ and OM

∴ $\frac{SQ}{OM}=\frac{60}{15}=4$

∵ SR = 32

∵ ON = 8

- Find the ratio of SR and ON

∴ $\frac{SR}{ON}=\frac{32}{8}=4$

∵ MN = 12 units

∵ QR = 48

- Find the ratio between QR and MN

∴ $\frac{QR}{MN}=\frac{48}{12}=4$

- The ratio between the corresponding sides are equal

∴ $\frac{SQ}{OM}=\frac{SR}{ON}=\frac{QR}{MN}= 4$

- By using the third case of similarity SSS

∴ Δ MNO is similar to Δ QRS by SSS similarity theorem

∴ You should use sides MN and QR

8 0

3 years ago

Read 2 more answers

What is the 10th term in 6,10,14,18

Solnce55 [7]

42. You are following a pattern of +4 each time.

6 0

3 years ago

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What is x equal to? 3/2(x-2)-5=19

malfutka [58]

Answer:

3/2x-3-5=19

3/2x-8=19

3/2x=27

x=18

5 0

4 years ago

Find the surface area of a cylinder. Solve this formula for h. Then find the height of the cylinder if the surface are is 251.2

mezya [45]

Answer:

The formula for 'h' is $\frac{S.A.}{2\pi r}-r$ .

The height of the cylinder is 3 in.

Step-by-step explanation:

Given,

Surface Area of Cylinder = 251.2 sq. in.

Radius = 5 in

We have to find out the height of the cylinder.

Solution,

We know that the Surface area of cylinder is given as;

$Surface\ Area = 2\pi r(h+r)$

Here 'r' is the radius and 'h' is the height.

We have to solve this for 'h'.

$\frac{S.A.}{2\pi r}=h+r\\\\h=\frac{S.A.}{2\pi r}-r$

Hence The formula for 'h' is $\frac{S.A.}{2\pi r}-r$ .

Now we solve for 'h'.

Since $h=\frac{S.A.}{2\pi r}-r$

On putting the given values, we get;

$h=\frac{251.2}{2\times3.14\times5}-5=8-5=3\ in$

Hence The height of the cylinder is 3 in.

3 0

3 years ago

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

KATRIN_1 [288]

Answer:

0.083

Step-by-step explanation:

Numbers of Cube = 6

Faces on coins = 2

Therefore, The total outcomes = $6 \times 2 = 12$

Now the favourable outcome that he rolls a 4 & flips a head = 1

The probability that he rolls a 4 & flips a head = 1

$\frac{Favourable \: Outcome}{Total \: Outcome}$

=> The probability that he rolls a 4 & flips a head = $\frac{1}{2} = 0.83333/ approx. 0.83$

Therefore, The probability that he rolls a 4 & flips a head = 0.083

7 0

4 years ago

Read 2 more answers