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Brut [27]
2 years ago
7

Find the value of x.

Mathematics
1 answer:
Deffense [45]2 years ago
6 0

Answer:

Step-by-step explanation:

the funny lines in the corners of the triangle mean that the angles are the same.  Maybe you knew that?

The supplementary angle at the top right is just

180- 17x -23

now you have expressions for each of the 3 angles of the triangle which all add up to 180°

180= 7x + 2  +  7x +2   +  180- (17x -23)

180 = 14x +4 + 180 - 17x +23

180 = -3x +207

3x = 27

x = 9

You might be interested in
In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 2
serg [7]

Answer: 233 people per thousand

Step-by-step explanation:

Using extrapolation method,

if 150/k in 1950,

  200/k in 1990,

  275/k in 2020,

2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.

Therefore,  

(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)

Where x is the number of retirees per thousand for 2003

Making x the subject of relation in the above equation.

Cross multiply the equation above;

(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)

13(275 - x) = 17(x-200)

3575 - 13x = 17x - 3400

Collect the like terms

3575+3400 = 17x + 13x

30x = 6975

x = 6975/30

x = 232.5

x = 233 people per thousand to the nearest integer

6 0
3 years ago
17 feet 5 inches - 8 feet 3 inches feet inches equals​
ella [17]

Answer:

9ft. 2in.

Step-by-step explanation:

17ft. 5in. = 209in.

8ft. 3in. = 99in.

209in. - 99in. = 110in.

110 in. = 9 ft. 2 in.

6 0
2 years ago
A city manage must predict the population of the city between the years 2000
bezimeni [28]

Answer:

the answer to predict the city's population is 2050

7 0
2 years ago
B 5 3 a 4 What is the length of the hypotenuse of this triangle? 3 units 5 units 4 units​
Lunna [17]

Answer:

5 units

Step-by-step explanation:

The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.

a^2+b^2=c^2

If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.

Hope this helped! :)

6 0
3 years ago
Seven tenths of a number plus fourteen is less than forty-nine
zloy xaker [14]
I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50


5 0
3 years ago
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