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3 years ago

HELP GEOMETRY PLEASE

Mathematics

1 answer:

Alexandra [31]3 years ago

4 0

For each of the problems, twice the angle formed by the chords is equal to half the sum of the angles of the arcs.

So, for the first problem, we have $94 \cdot 2 = x+103$ , so $x = 188 - 103 = 85$ .

For the second, $102 \cdot 2 = x + 118$ , so $x = 204 - 118 = 86$ .

For the last problem, $106 \cdot 2 = x + 88$ , so $x = 212 - 88 = 124$ .

Feel free to comment below if you have any questions!

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Answer:

✔ Angle 2 is congruent to angle 3.

✔ Angle 3 is congruent to angle 7.

Step-by-step explanation:

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4 years ago

Read 2 more answers

State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

$f(x) = -\sqrt{x + 1} + 3$

$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval $(-1,-\infty)$

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3 years ago

If you have 12% withheld for federal taxes, 7% for state taxes, and FICA is 7.65%, how much are your involuntary withholdings in

grandymaker [24]

Answer:

Step-by-step explanation:

The required withholding amounts are ...

federal tax = 0.12×$1375 = $165.00
state taxes = 0.07×$1375 = $96.25
FICA = 0.0765×$1375 = $105.19

So, the total involuntary withholding is ...

$165.00 +96.25 +105.19 = $366.44

We want to find the voluntary withholding such that ...

(gross pay) - (involuntary withholding) - (voluntary withholding) = (net pay)

Adding (voluntary withholding - net pay) to both sides of this equation, we get ...

(gross pay) - (involuntary withholding) - (net pay) = (voluntary withholding)

Filling in the values we know gives ...

$1375 -366.44 -725 = voluntary withholding = $283.56

Your voluntary withholding is $283.56.

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3 years ago

Write an expression for double the product of c and b

lapo4ka [179]

Answer:

2bc

Step-by-step explanation:

The product of c and b means c X b. However, in algebra, we typically miss out the X (multiply) symbol. We also like to put letters in alphabetical order. So this means the product of c and b is written as bc.

Then, to double a number, this just means to multiply by 2.

so we have 2Xbc. But, again, we don't write in the multiply symbol. We also put numbers in front of letters.

So this becomes 2bc.

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3 years ago

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Answer:

$b + n = 18$

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3 years ago