Which equation would help you find the missing side length in the right triangle shown?

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

[tex]\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}[/tex]

[tex]\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}[/tex]

sin(∠ADB) = [tex]\frac{30\text{sin}(120)}{35}[/tex]

                 = 0.74231

m∠ADB = [tex]\text{sin}^{-1}(0.74231)[/tex]

             = 47.92°

             ≈ 48°

m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

m∠ADC = 180° - 48°

m∠ADC = 132°

Answer:

so this uses proportions.

you need to find the side BF which is proportional to the side BF.

You do:

9/6=x/42

and cross multiply

9*42=6*x

378=6x

divide by 6 on both sides

x=63

the answer is 63

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:

The answer to your equation would be 1.5.

Step-by-step explanation:

The common ratio if there exists one can be found by choosing a term and dividing by its previous term

So does 12/8=18/12=27/18? Put each into the calculator. If they are equal fractions then this sequence is geometric and has a common ratio.

Each of the fractions are equal to 1.5.

Therefore the commom ratio is 1.5.

Answer:

A[2,3],(2,4),(2,5),(2,6)

Answer:

4800 ft²

Step-by-step explanation:

Given that :

Area of cabin = 800 ft²

Width of cabin = 20 feets

Side yard setback of building = 20 feets

Depth of lot = 80 feets

The cabin is a rectangle :

Area of rectangle = Length * Width

800 = length * 20

Length = 800 / 20 = 40 feets

Hence,

Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets

Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets

Area of lot = Length of lot * width of lot

Area of lot = 120 ft * 40 ft = 4800 ft²

Answer:

0.4

Step-by-step explanation:

Pls mark me brainliest! :D

Answer:It is 0.4 or 2/5

Step-by-step explanation:

Hope this helps!!

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.

Answer:8.5...

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: x=36 degrees

Step-by-step explanation:

Angle EAF and FAB must equal 180 degrees together as all straight lines do. 36 times 3= 108 degrees so 3x=108 degrees. 36 times 2= 72 degrees so 2x=72 degrees. Therefore, 3x+2x=180 degrees.

Answer:

The value of x is 16

Step-by-step explanation:

The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle

In Δ QPR

∵ QS is the angle bisector

∵ PR is the opposite side

→ By using the rule above

∴ [tex]\frac{PS}{PQ}[/tex] = [tex]\frac{SR}{RQ}[/tex]

∵ PS = x and PQ = 30

∵ PR = 40

∵ RS = PR - PS

∴ RS = 40 - x

∵ RS = 40 - x and RQ = 45

→ Substitute them in the rule above

∴ [tex]\frac{x}{30}[/tex] = [tex]\frac{40-x}{45}[/tex]

→ By using the cross multiplication

∵ x × 45 = 30 × (40 - x)

∴ 45x = 30(40) - 30(x)

∴ 45x = 1200 - 30x

→ Add 30x to both sides

∵ 45x + 30x = 1200 - 30x + 30x

∴ 75x = 1200

→ Divide both sides by 75

∴ x = 16

∴ The value of x is 16

Answer:17

Step-by-step explanation:trust me bro

Answer:

See attached file.

Step-by-step explanation:

This can be graphed by plugging in two distinct x values and solving each for y.  That will give you two x,y coordinates to draw on the graph, which will let you trace the line defined by them.

You can get the points where the line intersects the axis by solving either variable for zero.  Try giving x a value of 2 or 0 to find those.

Answer:

a) 10% off or $20 off

b) 25% off or $124.99 off

Step-by-step explanation:

In order to find the markdown on the shredder we simply need to divide the sale price by the original price. Once we have that we subtract that decimal from 1 and multiply by 100 to get the markdown percentage. We can also subtract the original price from the sales price to get the markdown dollar value.

179.99 / 199.99 = 0.899

(1 - 0.899) * 100 = 10%

199.99 - 179.99 = $20

Now, for the printer we are provided the markdown perentage so to find the markdown dollar value we need to divide the perentage by 100 to turn it into a decimal and multiply that decimal by the regular price of the printer. We can also subtract the markdown dollar value from the original price to get the sale price...

25% / 100 = 0.25

0.25 * 499.99 = 124.99

499.99 - 124.99 = $375

Answer:

$12.31

Step-by-step explanation:

11.62 divided by 2 =0.69

$11.62+$0.69=12.31

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer:

okay but it is a LOOP loop Left to a more important point is that the answer to this area is to be randomly in the project

Step-by-step explanation:

point

Answer:

c

Step-by-step explanation:

0.25 is the amount of rain that is falling, so that is the slope (0.25t)

2 is the y-int because it is the starting point. It was already there (+2)

so the equation is; 0.25t+2

Answer: c

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

603 miles in 3 days

Step-by-step explanation:

Let's find out how many miles in 1 day:

Let's find out how many miles in 3 days:

I hope this helps!

Answer:

2 solutions

Step-by-step explanation:

in most cases, linear equations have two solutions depending on which unlike terms you decided to simplify first

Answer:

if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.

Step-by-step explanation:

please solve this also it's hard for me

Answer:

512 cm^3

Step-by-step explanation:

side of the cube = 8cm

volume=8*8*8=512cm ^3

Answer:

Step-by-step explanation:

Since we are not told what to find, we can as well find the new tire pressure after reducing to 28% of the target pressure

Given the target tire pressure = 32psi

If the tire pressure of the vehicle is 28% below the target pressure, then the pressure of the tire will be;

32 - (28% of the target pressure)

= 32 - (28% of 32)

= 32 - (0.28 * 32)

= 32 - 8.96

= 23.04psi

Hence the new tire pressure if it is 28% below the target is 23.04psi

Step-by-step explanation:

The composite function (f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

4x² - 19

This is your correct answer friend

Answer:20

Step-by-step explanation:

Answer:

64 cars

Step-by-step explanation:

because he is multipling by 2

Monday 4

Tuesday 8

Wensday 16

Thursday 32

Friday 64

Answer: On Friday the toy store would have sold 256 race cars.

Step-by-step explanation: The pattern is x2 each number.

M: 4

T: 8

W: 16

T: 32

W: 64

TH: 128

F: 256

Answer:

b

Step-by-step explanation:

Answer:

In this problem, the equation is basically as follows:

F(x)=0.5x+12

where f(x) is the total cost and x represents the number of rides

F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

Answer:

x = 47°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the given angles from 180 for x

x = 180° - (31 + 102)° = 180° - 133° = 47°