What is the diameter of a circle multiplied by to get the circumference?

A. radius
B. perimeter
C. area
D. pi

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

brainly.com/question/11990585

Answer:

0.75 : 1

Step-by-step explanation:

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

I am pretty sure its g(x) = 3x + 11

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

Answer:

perimeter equals 66

sides: 23,23,10 10

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

Answer:

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

[tex]360 - 90 = 270[/tex]

Answer:

1) Yes

2) No

Step-by-step explanation:

Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.

1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it [tex]\frac{3}{2}[/tex].)

[tex]1.5= \frac{1}{4} (1) + \frac{5}{4} \\\frac{3}{2} = \frac{1}{4} +\frac{5}{4} \\\frac{3}{2} = \frac{6}{4} \\\frac{3}{2} = \frac{3}{2}[/tex]

The result is a true statement. Thus, (1, 1.5) is a solution to the equation.

2) Do the same with the point (12,4):

[tex]4 = \frac{1}{4} (12) + \frac{5}{4} \\4 = 3 + \frac{5}{4} \\4 = \frac{12}{4} +\frac{5}{4} \\4 \neq \frac{17}{4}[/tex]

The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.

Answer:

5

Step-by-step explanation:

square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Answer:

$70

Step-by-step explanation:

21/30 = 0.7

100x 0.7 = 70

Answer:

Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants

Step-by-step explanation:

Answer:

15x - 70 = 500

Step-by-step explanation:

Answer:

Explanation:

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

Round the answer

13.9

[tex]\sqrt{5}[/tex] is in between 2 and 3

[tex]\sqrt{105}[/tex] is in between 10 and 11

[tex]\sqrt{99}[/tex] is in between 9 and 10

[tex]\sqrt{27}[/tex] is in between 5 and 6

[tex]\sqrt{2}[/tex] is in between 1 and 2

[tex]\sqrt{67}[/tex] is in between 8 and 9

[tex]\sqrt{133}[/tex] is in between 11 and 12

[tex]\sqrt{90}[/tex] is in between 9 and 10

Answer:

[tex] \sqrt{5} = 2.24[/tex]

[tex] \sqrt{105} = 10.24[/tex]

[tex] \sqrt{99 } = 9.95[/tex]

[tex] \sqrt{27} = 5.2[/tex]

[tex] \sqrt{2} = 1.4[/tex]

[tex] \sqrt{133} = 11.53[/tex]

[tex] \sqrt{90} = 9.49[/tex]

[tex] \sqrt{67} = 8.16[/tex]

without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.

Given:

The expression is

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

It can be written as

[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]

[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Taking LCM, we get

[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{2}{a+2}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

Answer:

i love algebra anyways

the ans is in the picture and the steps how got it

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

24x + 21x + 15x =180

60x= 180

x=3

Largest angle =24x

=24*3=72

Answer:

72

Step-by-step explanation:

15x + 21x +24x = 180 (Angle sum property of a triangle.)

60x = 180

x = 3

hence largest angle = 72

Answer:

y=0x+(-3)

Step-by-step explanation:

Answer:

temp after 13 minutes is 330 degrees

Step-by-step explanation:

70+(20/13)=260+70=330

Answer:

330 Degrees

Step-by-step explanation:

First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)

Answer: the scale factor would be 2

Step-by-step explanation:

If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC

Answer:

Step-by-step explanation: