Find the value of x and the measure of the angle labeled 3X"
3x
45
27
A. X-15angle measure is 274
B. X-9, angle measure is 45
C. X-15, angle measure is 45
D. x. 9; angle measure is 27

Answer:

6

Step-by-step explanation:

let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5

2x=12

x=6

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

Answer:

82in

Step-by-step explanation:

brainliest?

Answer:7 is the exponent

Step-by-step explanation:

Answer:

[tex]6^7[/tex]

Step-by-step explanation:

Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :

6 * 6 * 6 * 6 * 6 * 6 * 6

6 is being repeated, therefore it's the constant.

6 is repeated 7 times, therefore the exponent is 7.

[tex]6^7[/tex]

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1), we have points (-3,6) and (9,-5)

m=(-5-6)/(9-(-3))

m=-11/12 so now we have

y=-11x/12+b, using point (9,-5) we can solve for b

-5=-11(9)/12+b

-5=-99/12+b

b=39/12

y=(-11x+39)/12

That is the line, m=-11/12 and b=39/12 or as a decimal b=3.25. You had b so not sure what the problem is. Though the question in the picture asks what the line is. The line is

y=-11x/12+13/4 so maybe they want the entire function instead of entering what b is.

Step-by-step explanation:

it maybe

8m= 36+20

m=56/8

=7 answer

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The slope is the "rise" over the "run" of the line, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

[tex]\frac{rise}{run}[/tex]

We can see that, on the graph, for every 3 units the line travels to the right, it travels 2 units up. Therefore, the rise is 2 while the run is 3.

[tex]\frac{2}{3}[/tex]

Therefore, the slope of the line is  [tex]\frac{2}{3}[/tex].

I hope this helps!

Answer:

A = 20°

AC = 6.6

BC = 2.4

Step-by-step explanation:

Given:

B = 70°

C = right angle = 90°

AB = 7

Required:

A, AC, and BC

Solution:

✔️A = 180 - (90 + 70) (sum of triangle)

A = 20°

✔️Use trigonometric function to find AC:

Refernce angle = 70°

Opp = AC

Hypotenuse = 7

Apply SOH,

sin 70 = Opp/Hyp

sin 70 = AC/7

7 * sin 70 = AC

6.57784835 = AC

AC = 6.6 (nearest tenth)

✔️Use trigonometric function to find Bc:

Refernce angle = 70°

Adj = BC

Hypotenuse = 7

Apply CAH,

cos 70 = Adj/Hyp

cos 70 = BC/7

7 * cos 70 = BC

2.394141 = BC

BC = 2.4 (nearest tenth)

Answer:

50.24 in

Step-by-step explanation:

Answer:

BCA==FGE

m <G=m<C=50° since corresponding angle of the congruent triangle are equal

Answer:

The first one will be 6. This is because 6/9 × 2/4= 1/3

The second one will be 2. This is because 9/10 × 2/3= 3/5

Step-by-step explanation:

Hope this Helpedn

Answer:

3cm approx

Step-by-step explanation:

Given data

Volume=  72cm^3

Radius=3cm

Required the height

The expression for the volume is

Volume= πr^2h

substitute

72=3.142*3^2*h

72=28.278h

h= 72/28.278

h=2.54

Hence the height is 3cm approx

Answer:

numerator is 1

denominator is 25

hope my ans helps

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Answer:

k=1/4 and y=(1/4)x

Answer:

x=10 , y=20

Step-by-step explanation:

2x=x+10

2x–x=10

x=10

y=2x

y=2(10)

y=20

Answer:

9 months im pretty sure hoped this help

Answer: It would take 10 months for her to get enough money to but the bike.

Step-by-step explanation: 150 + 400 = 550.

$40 per month - 40 x 10 = 400.

Already has 150$ in account.

150 + 400 = 550.

Answer:

January has the greater MAD.

Step-by-step explanation:

The MAD of January is 8. You can figure this out by finding the mean of the data (adding them all together then dividing by the number of data points), then finding the distance between each data point and the mean. You then will add all the distances together, then divide by the number of data points. The MAD of July is 2.5. See above for the process.

Answer:

ABC Sandwiches, Inc.

Step-by-step explanation:

Answer:

obtuse triangle

Step-by-step explanation:

it is obtuse because it needs to have all 3 sides to be acute to be an acute angle and it doesn't have any 90° angles so it has to be obtuse. Also because to be an obtuse it has to have 2 acute angles and 1 obtuse angle. Hope this helps!!

Answer:

Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Example

[tex]\left \{ {{y=2x+2} \atop {y=x-1}} \right.[/tex]

Graph the equations in a coordinate plane

The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation:

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Answer:

18.5

Step-by-step explanation:

74% of 25 = 18.5

Hope this helps!

Answer:

New price is 2800

Step-by-step explanation:

total decrease in price 2200

Answer:

1500

Step-by-step explanation:

48-50

29-30

50 times 30 = 1500

Answer:

Constant of proportionality = 2.25

What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Step-by-step explanation:

We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.

Let D be represent the daily fee and let the lent be L.

D ∝ L

Let the constant of proportionality be k.

Thus;

D = kL

k = D/L

For length of 15 ft;

k = 33.75/15

k = 2.25

For length of 17 ft

k = 38.25/17

k = 2.25

For length of 20 ft

k = 45/20

k = 2.25

Foe length of 21 ft

k = 47.25/21

k = 2.25

This means the formula for the relationship between the daily fee and boat length is; D = 2.25L

Thus, D/L = 2.25

What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Answer:

C=[tex]14\pi[/tex] or ≈43.96cm

Step-by-step explanation:

Start by figuring out the Area of the circle to get the radius (r)

Area (A)=153.86 cm

A=[tex]\pi r[/tex]²

153.86=[tex]\pi[/tex]r²

153.86÷[tex]\pi[/tex]=r²

49=r²

√49= r

r= 7cm

Next insert r=7cm into the Circumference equation of a circle

C=2[tex]\pi[/tex]r

C= 2×[tex]\pi[/tex]×7

C=14[tex]\pi[/tex] or C=43.96cm