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3 years ago

Please explain to me how to find the missing measurement

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

So you find out how many triangles are in this by taking a point and making a line to another point that isn't on the same line. this one has 3 triangles. each triangle is 180*(using multiplication symbol for degree symbol).you do this to find out what the number of angles adds up to. 180* multiplied by 3 equals 540*. Then if you add up all the angles you have 400*. 540 - 400 equals 140*. So the final angle is 140*. Hope this helps!

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

4 0

3 years ago

Graph the inequality y>-4x+6 to represent its solution set.

Deffense [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = 40

3 0

3 years ago

Forty students are In Science club. Of those 45% are girls. This percent increase 56% after new girls join the club. How many ne

stepan [7]

45% of 40 is 0.45×40=18 girls
if x girls join then 56% of 40+x is 0.56(40+x)=18+x
22.4+0.56x=18+x
put together like terms
4.4=0.44x
x=10 girls joined

8 0

3 years ago

Simplify the expression (x)^3(x^3y)^2

larisa86 [58]

Answer:

Step-by-step explanation:

$(a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}$

6 0

3 years ago