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3 years ago

What is the measure of angle x?

Mathematics

1 answer:

arsen [322]3 years ago

3 0

Answer:

x° = 83°

Step-by-step explanation:

All angles in a triangle (any kind of triangle: right, isosceles, equilateral etc.) add up to 180 degrees.

So, if we are given the ABC triangle, then:

angle A + angle B + angle C = 180°

In this particular case, we are given values of two angles, so using the previous relation, we can write:

x° + 44° + 53° = 180°

Now, it's easy to find x°:

x° = 180° - 44° - 53°

x° = 83°

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Solve for u. 36 – 9u = 27

strojnjashka [21]

Answer:

u = 1

Step-by-step explanation:

First, we can use inverse operations to help.

27 + 9u = 36

Next, we can start replacing u with numbers to find which number fits in u.

27 + 9(1) = 36

27 + 9(2) ≠ 36

27 + 9(3) ≠ 36

Now, we know that u = 1

8 0

3 years ago

Farmers Bob ,Joe and Larry sold apples at the farmers market .Bob sold 86 apples .Joe sold 12 times as many as Bob .Larry sold h

kotykmax [81]

Answer:

Altogether they sell 1634 apples.

Step-by-step explanation:

GIven:

Bob, Joe and Larry sold apples at the farmers market.

Bob sold 86 apples.

Joe sold 12 times as many as Bob.

Larry sold half as many apples as Joe.

Now, to find the total apples Bob, Joe and Larry they all sell together.

Number of apples Bob sold = 86.

Number of apples Joe sold = 12 times of 86.

$=12\times 86\\\\=1032.$

Number of apples Larry sold = $\frac{1}{2}\ of\ 1032$

$=\frac{1}{2} \times 1032$

$=516.$

Now, to get the apples they sell altogether we add the number of apples sold by Bob, by Joe and by Larry:

$86+1032+516$

$=1634.$

Therefore, altogether they sell 1634 apples.

7 0

3 years ago

F $1 \le a \le 10$ and $1 \le b \le 36$, for how many ordered pairs of integers $(a, b)$ is $\sqrt{a + \sqrt{b}}$ an integer?

svetlana [45]

You have such entry data:
$1\ \textless \ a\ \textless \ 10 \\ 1\ \textless \ b\ \textless \ 36$

Consider expression $\sqrt{a+ \sqrt{b} }$ . If this expression becomes an integer, then b=4,9,16,25, because then $\sqrt{b} =$ 2,3,4,5, respectively. In other cases $\sqrt{b}$ is not integer and thus the expression $\sqrt{a+ \sqrt{b} }$ also is not integer.

1. b=4, then $\sqrt{a+ \sqrt{b} }=\sqrt{a+2}$ . Here a=2,7 (in other cases $\sqrt{a+2}$ is not integer). When a=2, $\sqrt{a+2}=\sqrt{2+2}=2$ and when a=7, $\sqrt{a+2}=\sqrt{7+2}=3$ .

2. b=9, then a=6 and $\sqrt{a+ \sqrt{b} }= \sqrt{a+3}=\sqrt{6+3}=3$ .

3. b=16, then a=5 and $\sqrt{a+ \sqrt{b} }= \sqrt{a+4}=\sqrt{5+4}=3$ .

4. b=25, then a=4 and $\sqrt{a+ \sqrt{b} }=\sqrt{a+5}=\sqrt{4+5}=3$ .

Answer: (2,4), (7,4), (6,9), (5,16), (4,25).

3 0

3 years ago

The probability of a golden retriever catching a tennis ball in mid-air is 74%. Find the probability that a golden retriever cat

professor190 [17]

Answer:

Step-by-step explanation:

Given a large enough sample size the probability is 100%

If the question is "What is the probability of catching 3 tennis balls in three tosses in mid air. Sample size is 3

0.74³ = 0.405224 or about 41%

4 0

2 years ago

I need help with math

Sergio039 [100]

Gosh this is hard sorry can't help i think number 17 isi alot

3 0

3 years ago

Read 2 more answers