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7nadin3 [17]
3 years ago
11

A) (i) Write down the value of x.

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

x = 65° ( vertically opposite angles )

y = 71° ( alternate angles )

The sum of the 3 angles in a triangle = 180° , then

x + y + z = 180° , that is

65° + 71° + z = 180°

136° + z = 180° ( subtract 136° from both sides )

z = 44°

So x = 65°, y = 71° , z = 44°

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Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his
andrew11 [14]

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

4 0
3 years ago
Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Ju
SVEN [57.7K]
The best answer is 1.435 ·103 because while they both are really small for a rail road track that one is bigger. the final answer for that is 147.805mm.
5 0
3 years ago
Read 2 more answers
Show do i solve for the missing answers
Maurinko [17]
(g + f)(x)
g(x) + f(x)
x - 1 + x^2 + 4
x^2 + x + 3

(g - h)(x)
g(x) - h(x)
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8 0
2 years ago
Bridget is making greeting cards, which she will sell by the box at an art fair. She paid $30 for a booth at the fair and the ma
LiRa [457]

Answer:

when she sold 10 cards, it will cover all her cost.

Step-by-step explanation:

Profit(without charge of booth)=5x-2x

Profit=3x-30

Calculating:

3x=30

x=10

8 0
4 years ago
The school store sells 4 pencils for $0.50. at that rate, what would be the cost of 10 pencils?
elena-s [515]
4 Pencils cost 0.50$. 

So 8 Pencils would cold 1.00$

1/2 of 0.50$ is 0.25$

Therefore, 10 Pencils would cost 1.25$ !
3 0
3 years ago
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