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sveticcg [70]
3 years ago
8

Please help with geometry

Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

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I know it’s a lot but pls help me thx
lukranit [14]

Answer:

x = 44⁰

y = 46

z = 90⁰

m = 36⁰

n = 40⁰

Step-by-step explanation:

a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.

b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.

c) Opposite angles over a common side are equal, so m = 36⁰.

d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.

7 0
2 years ago
What is the answer to 7/6 ÷ 8/7
jolli1 [7]
The answer to 7/6 divided by 8/7 would be 1 1/48
6 0
3 years ago
Read 2 more answers
A pasture is twice as long as it is wide. its area is 88,200 ft2. how wide is the pasture?
OLga [1]
If the width is w and the length is l, then 2w=l. In addition, l*w=88200 (using the area formula). Plugging 2w in for l, we get 2w*w=88200=2w^2. Dividing both sides by 2, we get w^2=44100 and w=sqrt(44100)=210. 
4 0
3 years ago
a committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer.
miss Akunina [59]

Answer:

\frac{1}{990}

Step-by-step explanation:

<u>The full question:</u>

<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions?"</em>

<em />

<em />

The permutation of choosing 3 members from a group of 11 would be:

P(n,r) = \frac{n!}{(n-r)!}

Where n would be the total [in this case n is 11] & r would be 3

Which is:

P(11,3) = \frac{11!}{(11-3)!}=\frac{11!}{8!}=11*10*9=990

So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:

1/990

8 0
3 years ago
How much would $500 invested at 9% interest compounded annually be
dalvyx [7]

Answer:

$705.79.

Step-by-step explanation:

The formula is

Amount = P(1 + r/100) ^ t  so

Amount = 500 (1 + 9/100)^4

= $705.79.

8 0
3 years ago
Read 2 more answers
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