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jolli1 [7]
3 years ago
9

Find the value of x given the diagram below

Mathematics
1 answer:
Pie3 years ago
3 0

The value of x is 44°.

Step-by-step explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

14+30+a=180.

a = 180-44 = 136.

So the third angle of the triangle is 136°.

Step 2:

The sum of the angles along a straight line is 180°.

The sum of the angle of the triangle, 136° and x is 180°.

136+x=180.

x = 180- 136 = 44.

So x measures 44°.

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Ben paid $900 for a sofa .the price of the sofa juana purchased 2/3 the price that ben paid.how much did juana pay for her sofa
agasfer [191]

Well technically it would be $600

5 0
3 years ago
(UFRGS) Se 10x = 20y , atribuindo 0,3 para log2, então o valor de é
sveticcg [70]

Answer:

\frac{x}{y}=1.3

Step-by-step explanation:

<u>Informação recuperada:</u>

(UFRGS) Se 10x = 20y , atribuindo 0,3 para log 2 , então o valor de x/y é

1) Primeiro, passando o 10 para o 2º membro como base do logaritmo:

10x=20y \Rightarrow x=log_{10}20y

2) Aplicando a propriedade do produto de logaritmo:

log(AB)= logA+logB

x=log_{10}20y \Rightarrow x=log(2+10)y\Rightarrow x=(0.3+1)y \Rightarrow x=1.3y

3)  Como quero o quociente divido ambos os lados por y

\frac{x}{y}=\frac{1.3y}{y}\Rightarrow \frac{x}{y}=1.3

4 0
3 years ago
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
yanalaym [24]

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

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250+31.25=281.25

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2 years ago
Divers in a competition are scored by an international panel of judges. The highest and the lowest scores are dropped. The total
Fudgin [204]

From the statements given in the problem, we can say that:

 

Final Score = (total of the remaining scores) * degree of difficulty * 0.6

 

Therefore:

97.2 = (total of the remaining scores) * 4.0 * 0.6

total of the remaining scores = 40.5

 

Therefore the judges could have scored which has a total of 40.5

6 0
3 years ago
Read 2 more answers
3. In the figure below, find the values of x, y, and z.
Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

4y= 72

y= 18

3 0
2 years ago
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