Decimal Division Use the model to complete the number sentence. 1.62÷0.27=?

WZ and XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?

Inessa05 [86]

Answer:

Measure of arc ZWX is 230°.

Step-by-step explanation:

Given:

arc WX = 50°

Now

The diameter divide a circle into two equal parts

so

$arc\ ZWX=arc\ ZRW+arc\ WX$

Since WZ is diameter of the circle.

$arc\ ZRW=180\°$

substituting in above equation we get

$arc\ ZWX=180\°+50\°=230\°$

Hence Measure of arc ZWX is 230°.

7 0

2 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

rom a group of 5 managers (Joon, Kendra, Lee, Marnie and Noomi), 2 people are randomly selected to attend a conference in Las Ve

andrezito [222]

Answer:

probability that Marnie and Noomi are both selected=0.1

Step-by-step explanation:

A group of 5 managers (Joon, Kendra, Lee, Marnie and Noomi), 2 people are randomly selected to attend a conference in Las Vegas.

the possibility of selecting 2 from 5 manages is 5C2 ways

$5C2= \frac{5!}{2!(5-2)!} =10$

There is only one choice of selecting Marine and Noomi from 5 managers

So probability of selecting Marine and Noomi is

$\frac{1}{10} =0.1$

5 0

2 years ago

Can anyone help me answer this question (find x)? (15 points)

Greeley [361]

Answer:

The answer to your question is x = 6

Step-by-step explanation:

Process

1.- We can prove that the triangles are congruent.

Two angles measure the same 23°

Two sides measure the same 9

Two angles measure the same the are vertical angles

The third angle measure the same

From this information, we conclude that the triangles are congruent ASA

2.- If the triangles are congruent then x = 6, the sides are congruent

6 0

3 years ago

Quick help

11Alexandr11 [23.1K]

Isn’t it because of dilation?

8 0

2 years ago

Read 2 more answers

Decimal Division Use the model to complete the number sentence. 1.62÷0.27=?​

Decimal Division Use the model to complete the number sentence. 1.62÷0.27=?