What is the relationship between the exterior angle of a triangle and its remote
interior angles?

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.

Answer:

Polymomial with 4 terms i believe

Answer:

0.3 with the 3 being repeated

Answer:

72/96

Step-by-step explanation:

Answer:

abcd

Step-by-step explanation:

efg

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

Answer: Exponential

Step-by-step explanation: I did it in khan

Answer:

I have made it in above picture

Answer:

2 A.)

1) 3-4x+8x^2-6+2x-5x^2

2) 8x^2-5x^2-4x+2x+3-6

3) 3x^2-2x-3

B.) 3x-5-7x^2+2+6x^2+5x

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

one hundred billion

Step-by-step explanation:

10^6 x 10^5 = 10^11

10^11 = 100,000,000,000 or  one hundred billion

I hope that's what you meant ^-^

Answer:

42 degrees

Step-by-step explanation:

All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=84+54+a\\180=138+a[/tex]

Subtract both sides by 138

[tex]180-138=138+a-138\\42=a[/tex]

I hope this helps!

Answer:

i think it is 345 but not sure

Step-by-step explanation:

Answer:

Sorry I don't know this language

Answer:

The answer is 2550

Step-by-step explanation:

Add 1200 and 1350 it'll give you 2550

Answer:

250

2550

Step-by-step explanation:

sorry if wrong but I think

A=250

B=2550

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

"just do it"- adidas

just yolo it

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

Answer:

$179.2

Step-by-step explanation:

7% of 2,560 is 179.2

Answer:

B.20

Step-by-step explanation:

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Answer:

$71.25

Step-by-step explanation:

cost of one feet of molding = $15/8 = $1.875

Cost of  38 feet of crown molding = $1.875 x 38 = $71.25

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

A) Always

In a perfect sphere the centre is an equal distance from any point from the surface.

THANK YOU!!

∝ Sidhdi

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

Answer:

32.25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I had the same question and I got this right

Christopher is solving a system of equations that has one solution and can be seen in Option C.

A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is the second-order degree algebraic expression in a variable.

s(x) = 2x42 -5 and t(x) = -x +31+2

However, if their power is not in one degree, the quadratic equation produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;

brainly.com/question/14323743

Answer:

D) 128

Step-by-step explanation:

4(0.5)^-5

4(32)

128