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NARA [144]
3 years ago
6

If ∠a = 35°, what does ∠b equal? ∠b = ?°

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Hello!

As you can see, b and a appear to form a right angle. This means they are complementary, and their angle measures add up to 90°. Le'ts subtract 35 from 90 to find b.

90-35=55

Therefore, \boxed {\angle b= 55 \circ}.

I hope this helps!

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Miguel paid a total of $12,000 for stock that was $8 per share. If he sold all his shares for $15,000, how much profit on each s
Scorpion4ik [409]
If you would like to know how much profit on each share did he make, you can calculate this using the following steps:

$12,000 / $8 = 1,500 shares

$15,000 / 1,500 shares = $10 per share

x% of $8 is $10
x/100 * 8 = 10     /*100/8
x = 10 * 100 / 8
x = 125%

125% - 100% = 25%

Miguel made 25% ($2) profit on each share.
6 0
3 years ago
Read 2 more answers
What is 25.5% as a decimal​
KonstantinChe [14]

Answer:

0.255

Step-by-step explanation:

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3 years ago
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Use the information in the table to find the indicated probability.
grin007 [14]

Answer:

P(\text{Female}|\text{Advanced})=\frac{322}{567}\approx0.5679

Step-by-step explanation:

\displaystyle P(\text{Female}|\text{Advanced})=\frac{P(\text{Female and Advanced})}{P(\text{Advanced})}\\\\P(\text{Female}|\text{Advanced})=\frac{\frac{322}{2501}}{\frac{567}{2501}}\\\\P(\text{Female}|\text{Advanced})=\frac{322}{567}\\ \\P(\text{Female}|\text{Advanced})\approx0.5679

5 0
3 years ago
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under
saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

<em />

Divide the coefficient by 2

Result = 22/2

Result = 11

Take the square of this result, to give k

k= 11^2

k= 121

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

x^2 + 11x + 11x + 121

x(x + 11)+11(x+11)

(x+11)(x+11)

(x+11)^2

<em>Hence, the quadratic expression is </em>$\[x^2 + 22x + 121\]$<em></em>

8 0
3 years ago
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The length of a rectangle is 12 inches longer than the width. Find the length and width if the perimeter is 184 inches.
solong [7]

Perimeter = 2l + 2w

Divide 184 by 4

184/4 = 46

Subtract by 6

46 - 6 = 40

Add by 6

46 + 6 = 52

The length is 52, and the width is 40.

We can verify by plugging these values into the original equation.

52*2 + 40*2 = 184

3 0
4 years ago
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