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2 years ago

Help please attachment**

Mathematics

1 answer:

Alecsey [184]2 years ago

5 0

Question 8:
m<1 = 148 degrees
m<1 = m<2 Alternate angles in parallel lines
m<2 = 148 degrees
m<3 = 180 - m<2 Supplementary angles/angles on a straight line = 180
m<3 = 180 - 148
m<3 = 32 degrees

Question 7:
Sum of interior angles of a triangle = 180 degrees
Using that information determine angle C
Then use supplementary angles or angles on a straight line to determine D (exterior angle)

I hope question 7 makes sense :)

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1. Jane saved up 20 coins, all nickels and

kompoz [17]

Answer:

10 nickels and 10 quarters

Step-by-step explanation:

Given

Number of coins: 20

Vaiue of coins = $3.00

Required

Number of Nickels and Quarters;

Let N =Nickels and Q =Quarters

The total coins is represented as:

$N + Q = 20$

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

$0.05N + 0.25Q = 3$

Make N the subject of formula in the first equation

$N = 20 - Q$

Substitute this in the second equation

$0.05(20 - Q) + 0.25Q = 3$

$1 - 0.05Q + 0.25Q = 3$

Collect like terms

$-0.05Q + 0.25Q = 3 - 1$

$0.2Q = 2$

Multiply both sides by 5

$5 * 0.2Q = 2 * 5$

$Q = 10$

Recall that N = 20 - Q

$N = 20 - 10$

$N = 10$

6 0

3 years ago

colin has an ice cube tray with 12 identical compartments. Each compartment is a prism that is 4 cm. long, 3 cm. wide, and 3 cm.

a_sh-v [17]

Volume = length x width x height
V = 4 x 3 x 3
4 x 3 = 12
V = 12 x 3
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2 years ago

Work out the value of each expression, when r= 2.5 and t = 6.

Usimov [2.4K]

Answer:

a) 4(t - r) = 4(6 - 2.5) = 4 x 3.5 = 14

b) 4t - r = (4 x 6) - 2.5 = 24 - 2.5 = 21.5

c) 2(3t - 10) = 2(3 x 6 - 10) = 2(18 - 10) = 2 x 8 = 16

d) (t - 2)² = (6 - 2)² = 4² = 4 x 4 = 16

e) cannot decipher the equation

f) 6r + t = 6 x 2.5 + 6 = 15 + 6 = 21

8 0