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n200080 [17]
3 years ago
7

What is the distance between Nicholas’s school and the post office?

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

Answer:

B. 5.2

Step-by-step explanation:

<em><u>:-[ </u></em><em><u>y</u></em><em><u>o</u></em><em><u>u</u></em><em><u> </u></em><em><u>w</u></em><em><u>i</u></em><em><u>l</u></em><em><u>l</u></em><em><u> </u></em><em><u>k</u></em><em><u>n</u></em><em><u>o</u></em><em><u>w</u></em><em><u> </u></em><em><u>t</u></em><em><u>o</u></em><em><u> </u></em><em><u>h</u></em><em><u>a</u></em><em><u>v</u></em><em><u>e</u></em><em><u> </u></em><em><u>b</u></em><em><u>r</u></em><em><u>a</u></em><em><u>i</u></em><em><u>n</u></em><em><u>l</u></em><em><u>y</u></em><em><u>:-) </u></em>

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Given: Circle O with diameter LN and inscribed angle LMN<br> Prove: is a right angle.
skad [1K]

Method 1.

Look at the picture 1.

We have:

2\alpha=180^o\ \ \ \ |:2\\\\\alpha=90^o

Picture 2.

m\angle LMN=90^o

------------------------------------------------------------------------------------------

Method 2. (Picture 3)

ΔLOM and ΔMON are isosceles triangles. Therefore the two angles opposite the legs are equal.

The sum of the internal angles in each triangle is 180°. Thereofre in ΔLMN we have:

\alpha+\beta+\beta+\alpha=180^o\\\\2\alpha+2\beta=180^o\ \ \ |:2\\\\\alpha+\beta=90^o

m\angle LMN=\alpha+\beta\to m\angle LMN=90^o

5 0
3 years ago
Solve each equation. Check your solution.<br><br> 7a+10=2a
Debora [2.8K]

Answer:

a = -2

Step-by-step explanation:

7a + 10 = 2a

subtract 7a from each side

7a-7a+10 = 2a-7a

10 = -5a

divide by -5

10/-5 = -5a/-5

-2 = a

check

7 (-2) +10 = 2(-2)

-14 + 10 = -4

-4 = -4

5 0
3 years ago
Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r
harkovskaia [24]

The money does the choir still need to raise is $180.

<u>Step-by-step explanation:</u>

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

<u>During the first fundraising project :</u>

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

<u>During the second fundraising project :</u>

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

<u>To find the money does the choir still need to raise :</u>

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)  

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

6 0
3 years ago
Please helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Masteriza [31]
The unit rate would be 11/2. Hope this helped.
3 0
3 years ago
Can anyone help check if my calculation is correct or wrong?
8_murik_8 [283]
It’s correct good job
6 0
3 years ago
Read 2 more answers
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