Two angles in a triangle have measures of 25° and 55º.
What is the measure of the third angle?
A. 135
B. 100
C. 80°
D. 30°
Help please hurry

Answer:

[tex]f(x) = (0.85)^x[/tex]

Step-by-step explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:

[tex]A(x) = A(0)(1 - r)^x[/tex]

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that [tex]r = 0.15[/tex]. So

[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]

So

[tex]f(x) = (0.85)^x[/tex]

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

Answer:

[tex]f = \frac{720}{11}[/tex]

Step-by-step explanation:

Given

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation

[tex]f = 60; T = 121; L = 12[/tex]

Required

Find f, when T =81; L = 9

We have:

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]

Express as equation

[tex]f = k\frac{\sqrt T}{L}[/tex]

Make k the subject

[tex]k = \frac{fL}{\sqrt T}[/tex]

When [tex]f = 60; T = 121; L = 12[/tex]

[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]

[tex]k = \frac{60 * 12}{11}[/tex]

[tex]k = \frac{720}{11}[/tex]

To solve for f, when T =81; L = 9

We have:

[tex]f = k\frac{\sqrt T}{L}[/tex]

[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]

[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]

[tex]f = \frac{720}{11} * 1[/tex]

[tex]f = \frac{720}{11}[/tex]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

Answer:  I think it’s Area of the new park is 602000 yd

Answer:

90,375 yd^2

Step-by-step explanation:

A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.

30,125 * 3 = 90,375 yd^2

Answer:

[tex]6[/tex]

[tex]16[/tex]

Step-by-step explanation:

[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]

[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]

[tex]y = 3( 2 - \frac{x}{12} )[/tex]

[tex]y = 6 - \frac{x}{4} [/tex]

[tex]y = - \frac{x}{4} + 6[/tex]

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 18[/tex]

To find the c value ,

[tex]c = ( \frac{b}{2} {)}^{2} [/tex]

divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Step-by-step explanation:

the area of :

1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)

= 4.90625 + 11.775 = 16.68125 m²

2) upper side surface= (3.14 × (1.35²-1.25²))

= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²

3) lateral surface= 3.14×2.7×1.6=13.5648m²

the total amount of vinyl required for the spa =

16.68125+0.8164+13.5648 = 31.06245 m²

Answer:

Step-by-step explanation:

according to the question equation is

5x+8+3x=26+6x

8x+8=26+6x

8x-6x=26-8

2x=18

x=18/2

x=9

Answer:

x=9

Step-by-step explanation:

Decimal form is 3.96811878

Answer:

Area of rectangular lot= l * f

Step-by-step explanation:

Area of rectangular lot= l * f=7x*7x = 49x^2

Area of stadium= 5y*5y = 25y^2

Area left of build bleachers = 49x^2 - 25y^2

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

Answer: B & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above onto your computer for future reference

sin(g) = 420/427

tan(z) = 77/420

cos(z) = 420/427

sin(m) = 427/427

part (E)   the sin of any right angle will be  1   :)

Answer:

Solution given:

Sin G=opposite/hypotenuse=420/427

TanZ=Opposite/adjacent=77/420

CosZ=adjacent/hypotenuse=420/427

Sin M=opposite/hypotenuse=427/427=1

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

Answer:

5.8

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

Answer:

Statiscal

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. and this question can have more then one varitve of answers

Answer:

77 dogs

33 cats

Step-by-step explanation:

7+3 = 10

110 ÷ 10 = 11

11 x 7 = 77

11 x 3 = 33

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

Answer:

118.63

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.