Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

x + 90 = 61
​x + 90 + 61 = 180​
​x + 61+ 90 = 90​
​x + 61 = 180​

Answer:

It should equal 180 i think correct me if im wrong

Answer:

Length of the segment of a secant 'x' is 4 cm.

Step-by-step explanation:

If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.

By this property,

[tex]4\times x = 8^2[/tex]

[tex]4x = 64[/tex]

[tex]x=\sqrt{16}[/tex]

[tex]x=4[/tex] cm

Therefore, length of the segment of a secant 'x' is 4 cm.

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Answer:

y = -2 and x = 5

Step-by-step explanation:

2x + 3y = 4

-2x - y = -8

Since this is a system of equations, we can either substitute or subtract. I will be subtracting.

2x + 3y - 2x - y = 4 - 8

2y = -4

y = -2

Now that we have y, we will plug it in for the first equation and solve.

2x + 3(-2) = 4

2x - 6 = 4

    + 6  + 6

2x = 10

x = 5

Answer:

201.06

Step-by-step explanation:

Answer:

B (-3, -1/2)

Step-by-step explanation:

2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)

Have a great day!

Answer:

41

Step-by-step explanation:

Answer and Step-by-step explanation:

The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.

180 = x + 4 + 68 + x

Simplify.

180 = 2x + 72

Subtract 72 from both sides of the equation.

108 = 2x

Divide each side by 2.

x = 54

The angles of the triangle are:

Angle S = 54

Angle U = 58

Angle T = 68

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Danny's speed is given:

Andrew's speed is found from the table.

Since its the direct relationship, we find it using one pair of values:

Danny is faster as 15 mph > 14.5 mph

Speed =Distance/Time

Here speed is equal to slope of box

Danny is faster as his one is 15mph

Answer:

64 times larger

Step-by-step explanation:

8^3=512

2^3=8

512/8=64

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.

slope: -1/4

y-int: -1

y=(-1/4)x-1

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Answer:the third one (c)

Step-by-step explanation:

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Answer:

B. 12/13

Step-by-step explanation:

Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]

hypotenuse=13

opposite= 5

adjacent= 12

Cosine= adjacent/hypotenuse

cosine= 12/13

Answer:

40

Step-by-step explanation:

5 × 8 = 40

1 × 40 = 40

2 × 20 = 40

Answer:

B= 21.195

Step-by-step explanation:

Inner circle area = 3.14×1.5×1.5=7.065

Outer circle area = 3.14× 3×3 = 28.26

3 is the radius of the outer circle

Area of the shaded portion is = area of outer circle - area of inner circle

28.26-7.065=21.195

Answer B= 21.195

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75