What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

Answer:

£224

Step-by-step explanation:

Given data

P= £200

R=4%

T=3 years

Simple interest

A= P(1+rt)

Substiute

A= 200(1+0.04*3)

A=200(1+0.12)

A=200*1.12

A=£224

Hence the investment at the end of the period is £224

Answer:

47x=5

or 5/47

Step-by-step explanation:

Answer:

x=85

Step-by-step explanation:

x/5 + 2 = 19

5(x/5 + 2) = 5(19) *multiply both sides of the equation by 5 to get rid of the fraction

x + 10 = 95

x = 85 *subtract 10 on both sides

Check:

x/5 + 2 = 19

85/5 + 2 = 19

17 + 2 = 19

19 = 19

The probability that both marbles are yellow marbles is 1/25

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P =  2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

Read more about probability at:

https://brainly.com/question/25870256

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Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer:

175 , 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -4x + 7

perp. 1/4

y - 3 = 1/4(x + 8)

y - 3 = 1/4x + 2

y = 1/4x + 5

The equation of the perpendicular line is y = 1/4x + 5

The equation is given as:

4x + y = 7

Make y the subject

y = -4x + 7

A linear equation is represented as:

y = mx + c

Where m represents the slope.

This means that:

m = -4

A line perpendicular to 4x + y = 7 will have a slope of:

Slope = -1/m

This gives

Slope = 1/4

The equation of the line is then calculated as:

y = Slope(x - x1) + y1

This gives

y = 1/4(x + 8) + 3

Expand

y = 1/4x + 2 + 3

Evaluate

y = 1/4x + 5

Hence, the equation of the perpendicular line is y = 1/4x + 5

Read more about linear equation at:

https://brainly.com/question/1884491

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Answer:

-20 degrees celsius

Step-by-step explanation:

The temperature is falling so the rate is -4 degrees per hour.

It is five hours so: 5 x -4 = -20 degrees celsius.

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

Answer:

1.66666667

Step-by-step explanation:

plz mark brainlest

Answer:

1.67

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

1 × 3 = 3

Step 2: Add the product you got in Step 1 to the numerator:

3 + 2 = 5

Step 3: Divide the sum from Step 2 by the denominator:

5 ÷ 3 = 1.666667

Answer:

Step-by-step explanation:

If you change the bases to the same number, the exponents must equal each other.

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.

Answer:

11/20

Step-by-step explanation:

11/20

Answer:

55/100

Step-by-step explanation:

Beacsue % only equal %/100

Answer:

Step-by-step explanation:

to simplify you need to remove the parenthesis first , 2(5x)+7=

10x+7

Answer:

$1.75

Step-by-step explanation:

4b+n=12;2b+3n=18.5

Step: Solve4b+n=12for n:

4b+n+−4b=12+−4b(Add -4b to both sides)

n=−4b+12

Step: Substitute−4b+12fornin2b+3n=18.5:

2b+3n=18.5

2b+3(−4b+12)=18.5

−10b+36=18.5(Simplify both sides of the equation)

−10b+36+−36=18.5+−36(Add -36 to both sides)

−10b=−17.5

(Divide both sides by -10)

b=1.75

Step: Substitute1.75forbinn=−4b+12:

n=−4b+12

n=(−4)(1.75)+12

n=5(Simplify both sides of the equation)

Answer:

b=1.75 and n=5

Q4:

second choice

Q5:

first choice

Hope I helped :)

Answer: 48 in 1 hour

Step-by-step explanation:

32 divided by 40 = 0.8

0.8 times 60 = 48

hope this helped you out :))

Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

Answer:

Daniel can afford 12 rides

Step-by-step explanation:

So we would take his 22 dollars and subtract 4 for admission leaving us at 18\

Then we would divide 18 by 1.50 and we would get 12

Answer:

60º

Step-by-step explanation:

they key word here is difference meaning we need to subtract

specifically, we need to subtract 75 from 135 to find the difference in degrees, hence the number of degrees between the two settings:

135º - 75º = 60º

Answer:

6u77vhy46yvt g vgj v6. hy

Step-by-step explanation:

guv yg

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

the total price of the CD, including tax is $14.31

Step-by-step explanation:

The computation of the total price of the CD including tax is shown below:

= Sale price - off percentage + sales tax

= $15 - ($15 × 10%) + 6% of the remaining value

= 15 - $1.5 + 6% of the remaining value

= $13.50 + 6% of $13.50

= $13.50 + $0.81

= $14.31

Hence, the total price of the CD, including tax is $14.31

Answer:

30 - 2xx = x

Step-by-step explanation:

Answer:

A= 30 - 2x

Step-by-step explanation:

Answer:

15m

Step-by-step explanation:

Since the square has an area of 9m^2 it has to have sides that are 3m. There are 3 sides that are 3m. An equilateral triangle has the same sides so it has 2 sides that are 3m. There are 5 sides that are 3m. The perimeter is 15m.

Answer:

Part A: [tex]l = 60[/tex], Part B: [tex]b = \frac{9\sqrt{2}}{2}[/tex]

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle ([tex]r[/tex]) by means of following formula:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where [tex]x[/tex], [tex]y[/tex] are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: ([tex]r = l[/tex], [tex]x = y = 30\sqrt{2}[/tex])

[tex]l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}[/tex]

[tex]l^{2} = 3600[/tex]

[tex]l = 60[/tex]

Part B: ([tex]r = 9[/tex], [tex]x = b[/tex], [tex]y = \frac{9\sqrt{2}}{2}[/tex])

[tex]9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}[/tex]

[tex]81 = b^{2}+\frac{81}{2}[/tex]

[tex]b^{2} = \frac{81}{2}[/tex]

[tex]b = \frac{9\sqrt{2}}{2}[/tex]