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forsale [732]
2 years ago
12

NEED HELP QUICK!!! ∆PQR ~ ∆CDR. m∠C = 2(x +20)º, m∠PQR = (4x), and m∠P = (5x - 5)º. Find x.

Mathematics
1 answer:
Tanya [424]2 years ago
8 0
What! i dont know this math yet:(
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The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b
PSYCHO15rus [73]
A-b=21
5a-2b=18

We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)

a = 21+b

Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29

Plug back into the first: a=21+b
a = 21 - 29
a = -8

Option D

6 0
3 years ago
How do I get this answer?
Keith_Richards [23]

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

  • cos(2x) = cos²(x) -sin²(x)
  • cos²(x) +sin²(x) = 1
  • cos(x) = 1/sec(x)

<h3>Proof</h3>

Starting with the left side, we can transform it into the right side.

  2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}

4 0
1 year ago
20 onions cost £3.00. 25 potatoes cost £6.25. Mr Dean needs 14 onions and 16 potatoes. Calculate the total cost.
enot [183]

Answer:

The total cost of 14 onions and 16 potatoes will be £6.10

Step-by-step explanation:

Let onion be n and potato by p

20n = £3.00

1n = £3.00/20

= £0.15

25p = £6.25

1p = £6.25/25

= £0.25

The cost of 1 onion is £0.15, and 1 potato is £0.25

Then the cost of 14 onion and 16 potatoes together will given as

14n + 16p

substituting the values of n and p, we will have

14*0.15 + 16*0.25

2.1 + 4

= £6.10

5 0
3 years ago
If they immediately ran in opposite directions with speeds of 180 feet per minute and 120 feet per minute respectively, how many
Olin [163]
2420 / (180 + 120) = 8 2/3 minutes.
5 0
3 years ago
Read 2 more answers
Write an algebraic expression for "12 less than the quotient of 12 and a number z."
tigry1 [53]
12-(12 divided by z) make sure divided by is not in words :)hope it helped
8 0
2 years ago
Read 2 more answers
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