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3 years ago

Angle sum theorem Find the value of x

Mathematics

2 answers:

balandron [24]3 years ago

0 0

Answer:

X=62

Step-by-step explanation:

68.5+49.5=118

180-118=62

Aleks [24]3 years ago

0 0

Answer:

x=62

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees.

Therefore, the three angles inside of this triangle should equal 180 degrees when added together.

x+68.5+49.5=180

Combine like terms by adding 68.5 and 49.5

x+(68.5+49.5)=180

x+118=180

We want to find the value of x. Therefore, we must get x by itself.

We should perform the inverse operation to both sides. 118 is being added to x. The inverse of addition is subtraction. Subtract 118 from both sides.

x+118-118=180-118

x=180-118

x=62

x is 62 degrees.

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Suppose five pairs of similar-looking boots are thrown together in a pile. What is the minimum number of individual boots that y

Fudgin [204]

Answer:

Step-by-step explanation:

Every pair of boots has one boot for the right leg and one for left leg ,It is given that there are 5 pairs of boots

Number of single boots = 5 x 2 = 10

<u>Pair Number Left Leg Right Leg </u>

1 (L) R

2 L (R)

3 L (R)

4 (L) R

5 (L) R

Now, Let us start picking the boots at random ,with at most one boot from each pair.

For example, let the first boot be the left of pair 1, the second boot be the right of pairs 2 , and so on .

Let us circle the boots that are picked in the table.

If the above rule of at most one boot from a pair is followed , we can see that we can pick 5 boots and still not get a pair.

But as soon as we choose the 6th boot from the remaining boots, it is clear that it will complete a pair

for example ,if we pick the left boot of pair 2, it will complete pair 2.

therefore,

Since there are 5 pairs of boots in the pile, if at most one boot is chosen from each pair ,the maximum number of boots chose would be 5. It follows that if a minimum of 6 boots are chosen ,at least two must be from the same pair.

4 0

3 years ago

Multiply. 3√2⋅2√8⋅√3⋅√6 <br><br> explanation would be lit

Delicious77 [7]

When two the same numbers under the square root multiply, they are equal to the value under the square root, for example √2⋅√2 = 2. So then we have:

3√2⋅2√8⋅√3⋅√6 = 3⋅√2⋅2⋅√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 3⋅2⋅√2⋅√2⋅√2⋅√2⋅√2⋅√3⋅√3 = 3⋅2⋅2⋅√2⋅3 = 36⋅√2

or if the bolded 2 from above is also the square root, then the solution is:

3√(2⋅2)√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 54

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3 years ago

Read 2 more answers

What is the y-intercept of a line that passes through the points (5, -6.5) and (-12, 2)?

n200080 [17]

Answer:

y-intercept = -4

Step-by-step explanation:

equation of a line: y=mx+b

two points given are (5, -6.5) and (-12, 2)

first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.

formua to find m: $\frac{2-(-6.5)}{-12-5}$ = -0.5

to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.

if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b

then you just solve for b and it turns out to be -4.

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3 years ago

What is 56/63 in simplest form?

Talja [164]

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4 years ago

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Licemer1 [7]

use the formula

$A=P(1+\frac{r}{t})^{n\cdot t}$

clear the formula for the rate

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1 year ago