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Answer 1

Answer:

$m\angle ADC=m\angle ADB+m\angle BDC\n\nm\angle ADC=112^o,\ m\angle ADB=6x+7,\ m\angle BDC=12x-3\n\n\text{substitute}\n\n(6x+7)+(12x-3)=112\n\n(6x+12x)+(7-3)=112\n\n18x+4=112\ \ \ \ |-4\n\n18x=108\ \ \ \ |:18\n\nx=6\n\nm\angle ADB=6x+7\to m\angle ADB=(6(6)+7)^o=(36+7)^o=43^o$

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The bill for lunch was 24.50 mr smith add a 20% tip how much did mr smith pay
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The Nguyen family spent $48 on entrance fees to the county fair. Each ticket for an adult cost $12. Each ticket for a child cost $5. Each senior citizen paid $2. There were six people in the group. There were 2 fewer tickets purchased for senior citizens than adult tickets. How many adult tickets were purchased?

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

Answer: The end behaviour to the left is decreasing and to the right is increasing

The end behaviour of a polynomial function depends on the degree "n" of the polynomial ("n" even or odd) and the sign on the leading coefficient (the coefficient of the "x" has the biggest exponent):
For even degree polynomial (biggest exponent "n" even) and leading coefficient positive the end behaviour is increasing in both ends; and for leading coefficient negative the end behaviour is decreasing in both ends.
For odd degree polynomial (biggest exponent "n" odd) and leading coefficient positive the end behavior to the left is decreasing and the end behaviour to the right is increasing; for leading coefficient negative, the end behaviour to the left is increasing and the end behaviour to the right is decreasing.

In this case the degree of the polynomial (biggest exponent) is n=3 (odd) and the leading coefficient (the coefficient of the "x" has the biggest exponent) is 2 (positive), then the end behaviour to the left is decreasing and to the right is increasing

Answer:A

Step-by-step explanation: jus took it

a on edge

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In what form are the equations written?

Answers

Point-Slope form is $y - y_1 = m (x - x_1)$ , where $x_1$ and $y_1$ are the given coordinate pair and m is the slope. So, the Point-Slope equations are y - 81 = $(5)/(7)$ (x + 2), 2y + 32 = $(1)/(9)$ (x - 4), and y + $(2)/(3)$ = - $(9)/(11)$ (x - 4).

Slope-Intercept form is y = mx + b, where m is the slope and b is the y-intercept, or where the line crosses the y-axis and x = 0. The Slope-Intercept equations are y = 4x + $(3)/(5)$ , y = - $(4)/(9)$ - $(1)/(2)$ , y = 7x - 3, and 4y = 9x - 5.

Standard Form is ax + by = c. The Standard From equations are 3x - 17y = 51, $(1)/(8)$ x + $(3)/(7)y$ = 56, and12x + 8y = -36.

Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the amount he owed on a recent rental?a.) 25x + 0.1y
b.) 251.x
c.) 25.1xy
d.) 25.1 + 35y

Answers

Let x be the number of days and y represent miles driven.

Since it costs 25 per day, you multiply 25 by x.
25x

10 cents (otherwise known as .1 dollars) per mile, multiply .1 times y. Now add the two.
.1y

25x+.1y

The answer is a.) 25x + 0.1y.

2 The density of a substance can be determinedby finding the unit rate that compares mass to
volume. A nugget of gold has a mass of
463.2 grams and a volume of 24.0 milliliters.
What is the density of gold?
F 11,116.8 g/mL
G 439.2 g/mL
H 0.052 g/mL
J 19.3 g/mL

Answers

Answer:

88888

Step-by-step explanation:

6201005050

Final answer:

The density of a substance, including gold, is calculated by dividing its mass by its volume. For the nugget of gold with a mass of 463.2 grams and a volume of 24.0 milliliters, the density is calculated as 19.3 g/mL.

Explanation:

The density of a substance can be calculated by dividing its mass by its volume. This is also known as the unit rate comparing mass to volume. In the case of the gold nugget, you have a mass of 463.2 grams and a volume of 24.0 milliliters. To find the density, you would divide the mass (463.2 g) by the volume (24.0 mL).

So, the calculation will be as follows:

Density = Mass / Volume = 463.2 g / 24.0 mL = 19.3 g/mL

Thereby the density of gold in this scenario is 19.3 g/mL.

Learn more about Density here:

brainly.com/question/29775886

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Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out there is still not enough information to accurately guess. Finally, Bob says" my youngest child called justice". Mark can then correctly determine the ages of bob's children. What are the ages?

Answers

I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
9 ÷ 3 =   3
3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72

3/12 and 5/x are equivalent ratios. Solve for x