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LenaWriter [7]
3 years ago
14

Use PQR below to answer the question that follows:​

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

Angle P is congruent to itself due to the reflexive property.

Explanation:

Angle P must be congruent to angle S through corresponding angle theory.

Otherwise, it wouldn't prove ΔPQR is similar to ΔSTR.

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Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane
Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

a)

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36

b)

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

c)

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1

Hence , this is the required solution .

4 0
3 years ago
6x minus 2y equals 24
Drupady [299]

Answer:

slope:-3 y-intercept 12

6 0
3 years ago
Complete the statement<br> 66.4mg = g<br> 66,400<br><br> 6.64<br><br> 0.0664<br><br> 6,640
Ierofanga [76]

Answer:

1 g = 1000 mg

⇒ 1 mg = 1/1000 g

1 mg = 0.001 g

5 0
2 years ago
11. Shrimp are often found in tropical climates and can be raised on farms or caught in the wild.
seropon [69]

Answer:

3/83

Step-by-step explanation:

Probability: the ways to get the desired result / all of the possible results.

To solve, plug in the values they give.

There are 6 packages of wild-caught shrimp from Honduras. (The desired result)

Now, to find all of the possible results, add the total number of packages together.

27 + 40 + 52 + 13 + 6 + 28 = 166

6/166 = 3/83

Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.

7 0
2 years ago
Use a percent proportion or equation to answer: 150% of what number is 24
Delvig [45]

Answer is 36

150 • 24= 3,600

3,600/100= 36

4 0
2 years ago
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