The interior angles formed by the sides of a quadrilateral have
measures that sum to 360°
What is the value of x?
Enter your answer in the box.
|(2x + 3) (2x + 3)
X =

Answer:

$76

Step-by-step explanation:

Answer:

Step-by-step explanation:

The building and the person on it are illustrations of elevation and depression

The height of the building is 76.9 feet

To calculate the building height, we make use of the attached illustration

Considering the triangle DCB in the figure, we have:

tan(B) = DC/BD

Substitute known values

tan(28.3) = DC/(DA + 100)

Cross multiply

(DA + 100) * tan(28.3) = DC

Divide both sides by tan(28.3)

DA + 100 = DC/tan(28.3)

Subtract 100 from both sides

DA = -100 + DC/tan(28.3)

Considering the triangle DCA in the figure, we have:

tan(A) = DC/DA

Substitute known values

tan(33.5) = DC/DA

Make DA the subject

DA = DC/tan(33.5)

Substitute DA = DC/tan(33.5) in DA = -100 + DC/tan(28.3)

DC/tan(33.5) = -100 + DC/tan(28.3)

Evaluate the tangent ratios

0.56DC = -100 + 1.86DC

Collect like terms

-1.86DC + 0.56DC = -100

Evaluate

-1.3DC = -100

Divide both sides by -1.3

DC = 76.9 feet

Hence, the height of the building is 76.9 feet

Read more about elevation and depression at:

https://brainly.com/question/15580615

the angle when a circle is divided into 12 angles.

angle at a point is:

=360°

so to find the angle you'll have to divide 360 by 12.

360 ÷ 12

= 30°

hence, the measure of each angle is 30°.

Answer:

30

Step-by-step explanation:

to find:

the angle when a circle is divided into 12 angles.

solution:

the angle at a point is:

=360°

so to find the angle you'll have to divide 360 by 12.

360 ÷ 12

= 30°

hence, the measure of each angle is 30°.

Answer:

see image

Step-by-step explanation:

You are subtracting fractions. To do this you must have a common denominator. Then subtract the numerators.

In your question, the denominators (expressions on the bottom) are ALREADY THE SAME, because (x+2)(x+1) is the same as x^2+3x+2.

So to subtract, keep the denominator and subtract the tops:

x - 1

The result can be written in either factored form or standard form. The answers are equivalent. See image.

Answer:

Going left to right:

2/5

1/5

1/4

13/10

Step-by-step explanation:

Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

It is given by:

h(t) = -16t² + v(0)t + h(0)

In which:

For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:

h(t) = -16t² + 18t + 4.5.

For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:

h(t) = -16t² + 21t + 1.5.

Hence, the system is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

D) h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Step-by-step explanation:

The next answer is, "the time at which the ball and the dog's mouth are at the same height"

Answer:

D

Step-by-step explanation:

a local minimum is a low point in the graph, but it isn't the lowest. and If u look at the given interval choices, the only one that has a local minimum Is D.

Answer: $2053.51

Step-by-step explanation:

The formula for compound interest is [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where

A = final amount

P = initial principal balance (1700 for this)

r = interest rate (0.065 for this)

n = number of times interest applied per time period (1 for this)

t = number of time periods elapsed (3 for this)

[tex]A=1700(1+\frac{0.065}{1})^{(3)(1)} \\A=1700(1.065})^{3} \\A=2053.51435[/tex]

Rounded that is 2053.51

Answer:

8.6 mile

Explanation:

[tex]\sf equation \ follows : \ \ \ d = 1.2116\sqrt{h}[/tex]

what the captain sees:

[tex]\hookrightarrow \sf d_c = 1.2116\sqrt{15}[/tex]

what the sailor sees:

[tex]\hookrightarrow \sf d_s = 1.2116\sqrt{120}[/tex]

Difference between them:

[tex]\sf \rightarrow 1.2116\sqrt{120} \ - \ 1.2116\sqrt{15}[/tex]

[tex]\sf \rightarrow 8.58[/tex]

[tex]\sf \rightarrow 8.6[/tex]      (rounded to nearest tenth)

Answer:

8.6 miles (nearest tenth)

Step-by-step explanation:

[tex]d=1.2116\sqrt{h}[/tex]

where:

Captain

Given the Captain is 15 ft above the ocean:

[tex]\implies h = 15[/tex]

Substituting this into the equation:

[tex]\implies d_1=1.2116\sqrt{15}[/tex]

Lookout

Given the lookout is 120ft above the ocean:

[tex]\implies h = 120[/tex]

Substituting this into the equation:

[tex]\implies d_2=1.2116\sqrt{120}[/tex]

Solution

To find how much farther the lookout can see than the captain, subtract the distance the captain can see from the distance the lookout can see:

[tex]\implies d_2-d_1[/tex]

[tex]\implies 1.2116\sqrt{120}-1.2116\sqrt{15}[/tex]

[tex]\implies 1.2116(\sqrt{120}-\sqrt{15})[/tex]

[tex]\implies 8.579906391...[/tex]

[tex]\implies 8.6\: \sf miles\:(nearest\:tenth)[/tex]

Answer:

11340

Step-by-step explanation:

You would just multiple 27 by 420, since each room has a capacity:

27 x 420 = 11340

Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Solution -

[tex]Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} [/tex]

Further ,

value of [tex]\bold\orange{\sqrt{3} = 1.732}[/tex]

therefore ,

[tex]Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}[/tex]

hope helpful :D

Answer: x=20

Step-by-step explanation:

The two angles provided are vertical angles.

Vertical angles are equal in measurement.

This means we can set (3x+50) and (6x-10) equal to each other and solve for x

[tex]3x+50=6x-10[/tex]

Add 10 to both sides

[tex]3x+50=6x-10\\3x+50+10=6x-10+10\\3x+60=6x[/tex]

Subtract 3x from both sides

[tex]3x-3x+60=6x-3x\\60=3x[/tex]

Divide both sides by 3

[tex]\frac{60}{3} =\frac{3x}{3} \\20=x[/tex]

Answer:

Step-by-step explanation:

(3x + 50)° = (6x - 10)°

3x - 6x = -50 - 10

3x = -60

[tex]\frac{-3x}{-3}[/tex] = [tex]\frac{-60}{3}[/tex]

x=20°

Answer:

Making money

Step-by-step explanation:

selling motorcycle for 2,535

After 2 years the motorcycle is worth:

y = 4721(0.65)^2

= 1994.6

2535> 1994.6

Answer:

Joel is selling a motorcycle for $2,535. He bought the

motorcycle two years ago and paid $4,721 for it. It depreciated

35% during the two years. Is he losing money or making money

on this sale

Answer:

[tex]h = 16.1[/tex]

Step-by-step explanation:

[tex]sin A /a = sin B / b = sin C/c[/tex]   where A is angle and a is side opposite of angle

[tex]sin (49) / h = sin(41)/ 14[/tex]       cross-multiply

[tex]h*sin(41) = 14 * sin(49)[/tex]

[tex]h = (14*sin(49))/ sin(41)[/tex]

[tex]h = 16.1[/tex]

Answer:

Step-by-step explanation:

Answer:

The answer is D. 272

Step-by-step explanation:

All you need to do is find out how many people can be seated at each table, then add them together.

16 x 8 = 128

12 x 12 = 144

128 + 144 = 272

272 students can fit in the cafeteria at once.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

use pythagorean theorem a^2 + b^2 = c^2

a = 6, b = 8

6^2 + 8^2 = c^2

100 = c^2

c = -10

since it cant really be negative, the distance becomes 10.

The fraction that shows the number of ounces of filling camilo uses in each empanadas is,

↪32 ounces

☆...hope this helps...☆

_♡_mashi_♡_

[tex] \bold{ \underline{SOLUTION }}[/tex]

Required Answer

Camilo uses ounce = 32

he put emandas = 0

each tray = 3

find how many ounce of filling camilo uses in each empandas

0 × 3 = 0

{and any number is cant divided by zero.}

Thus ,,

32 empanadas fill on each ounce

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The *graph of a function* (and not an equation) f(x) crosses the x-axis for any value of x such that f(x) = 0. We call x a root of f(x) in that case.

The simplest function with roots at both x = 3 and x = -8 is

f(x) = (x - 3) (x + 8)

since

f(3) = (3 - 3) (3 + 8) = 0 • 11 = 0

and

f(-8) = (-8 - 3) (-8 + 8) = -11 • 0 = 0

Answer:

8.

Step-by-step explanation:

1. In PEMDAS, parenthesis always comes first. In this equation, 14 divided by 2 is in parenthesis. this equals 7. Now the equation looks like the following: 10+45/9-(7).

3. In this equation, there are no exponents, nor is there multiplication, so we move on to division. The only division left in this equation is 45 divided by 9, which is equal to 5. Now the equation looks like the following:

10+5-(7)

4. Next in PEMDAS comes addition, which in this case is 10 plus 5, which is equal to 15. Equation presently: 15-(7)

5. Lastly, subtraction. 15 minus 7= 8, therefore the overall answer is 8.

Answer:

y=5

Step-by-step explanation:

Let me know if you need an explanation

Answer:

B) (4, -1)

Step-by-step explanation:

A violates the rule of y <= x + 1, because 3 > 1 + 1

C violates the rule of y <= x + 1, because 5 > 0 + 1

D violates the rule of y > -x, because 0 < -(-4) = 4

B conforms to both rules: -1 > -4 and -1 <= 4 + 1.

Answer:

 B) (4,–1)

Step-by-step explanation:

A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.

Answer: 30

Step-by-step explanation: Before Joe had $45 in total, He then spent it on a movie which is $15. So $45-$15=30

Answer:

25+20-15=30

Step-by-step explanation:

Here You Go Bud