In the circle below, suppose m WXU 216° and m XWV= 137º. Find the following.

What are the extremes of the following proportion 3/15 = 12/60

zalisa [80]

In a proportion there are letters assigned to represent various numbers. a, b, c, and d.

a, b, c, and d are 4 non-zero rational numbers that are terms of proportion.

a/b = c/d or a:b = c:d

a and d are the end terms or known as the extremes.
b and c are the middle terms or known as the means.

With this information, we can gather that the extremes of the following proportion are 3 and 60.

3/15 = 12/60 ; a/b = c/d
a = 3 ; b = 15 ; c = 12 ; d = 60

3 and 60 are the extremes
15 and 12 are the means

7 0

3 years ago

Read 2 more answers

The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.

zysi [14]

Answer:

See below

Step-by-step explanation:

Dimensions given:

l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

2 1/4 : 1/4 = 9/4 * 4 = 9

Width

1 : 1/4 = 1 *4 = 4

Height

1 1/4 : 1/4 = 5/4 * 4 = 5

Part A

Number of small cubes would be:

9*4*5 = 180

Part B

Each small cube has volume:

V = (1/4)³ = 1/64 ft³

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³

4 0

2 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

Please help me asap.

KonstantinChe [14]

Answer:

<T

Step-by-step explanation:

You can tell that the angles and length of the triangles are equal from the marks. For example, angle J has 2 lines on its angle so i looked for the other angle with 2 lines on it which happens to be angle S.

Comment if u dont understand

3 0

2 years ago

Henry's mom is in charge of buying lemonade for his soccer team this week she plans on every player receiving 7/8 of a cup of le

Katena32 [7]

If each player will receive 7/8 of a cup, and there are a total of 20 cups of lemonade, then the number of servings that can be made is equal to:

20 cups divided by (7/8 cup per player)
20 / (7/8) = 20 * (8/7) = 160/7 = 22 and 6/7 (round down since we're looking for complete servings)
This means that 22 complete servings can be made.

5 0

2 years ago