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nalin [4]
3 years ago
6

(7 - 2 - (3-1)) * 5 Please help me solve this

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

15

Step-by-step explanation:

Use Order of Operations BPEMDAS to help you solve:

(7 - 2 - 2)5

(5 - 2)5

3(5)

15

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Given: KLIJ is inscribed in circle k(O)
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Check the picture below.

let's notice that the angle at K is an inscribed angle with an intercepted arc

\bf \stackrel{\textit{using the inscribed angle theorem}}{K=\cfrac{\widehat{LI}+\widehat{IJ}}{2}}\implies 9x+1=\cfrac{(10x-1)+59}{2} \\\\\\ 9x+1=\cfrac{10x+58}{2}\implies 18x+2=10x+58\implies 8x+2=58 \\\\\\ 8x=56\implies x=\cfrac{56}{8}\implies x=7 \\\\[-0.35em] ~\dotfill\\\\ K=9x+1\implies K=9(7)+1\implies \boxed{K=64}

now, let's notice something again, the angle at L is also an inscribed angle, intercepting and arc of 97 + 59 = 156, so then, by the inscribed angle theorem,

∡L is half that, or 78°.

now, let's take a look at the picture down below, to the inscribed quadrilateral conjecture, since ∡J and ∡I are both supplementary angles, then

∡I = 180 - 64 = 116°.

∡J = 180 - 78 = 102°.

7 0
3 years ago
Find the consecutive integers even integers whose sum is 264
coldgirl [10]
Name the first even integer you are looking for x. The next even number is x+2.

Their sum is 264, so x+x+2=264. That means 2x=262, hence x=131.

So, the desired numbers are 131 and 133.
5 0
4 years ago
Using the following figure select all statements that are TRUE. (Write the number of the statement and separate them with a comm
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Step-by-step explanation:

3 0
2 years ago
Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. Does s
Zepler [3.9K]

Answer:

Julia has enough gallons of gas to mow the two yards.

Step-by-step explanation:

The complete question is :

Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. She has 1 1/2 gallons of gas in her can. Does she have enough to mow both yards? Explain.

Given:

Julia has to mow 2 yards.

For the first yard she would require \frac{13}{16} gallon of gas.

For second yard she would require \frac{2}{5} gallon of gas.

She has 1\frac{1}{2} gallon of gas in her can.

To find if she has enough gas to mow the two yards.

Solution:

In order to find the total gas she would require to mow two yards, we will add the amounts of gas required for each yard.

<em>Total amount of gas required to mow 2 yards is :</em>

⇒ \frac{13}{16}+\frac{2}{5}

<em>To add fractions we will need take least common denominator between 16 and 5. </em>

On comparing the multiples of 16 and 5, we find out the least common multiple is 80.

To make the denominators common, we will multiply the numerators and denominators with such a number that gives 80 as denominator.

So, we have:

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Then, we add the numerators.

⇒ \frac{97}{80}

⇒ 1.21 gallons

Julia has 1\frac{1}{2} gallons of gas which is = 1.5 gallons.

Since 1.5>1.21, therefore we can say Julia has enough gallons of gas to mow the two yards.

6 0
3 years ago
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