The triangles below are similar. In each triangle there is a 53 degrees angle and a right angle. What is the measure of the third angle in each triangle?

Triangle J K L. Angle K is 90 degrees and angle L is 53 degrees. Triangle Y X Z. Angle Y is 53 degrees and angle X is 90 degrees.
37º
47º
53º
127º

Answer:

(-7, 8) across the x-axis: (-7, -8)

(-7, 8) across the y-axis: (7, 8)

Step-by-step explanation:

I think c because from what remember taking this test

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and [tex]q[/tex] is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

[tex]q = 0.7, a_1 = 25*0.7 = 17.5[/tex]

Then

[tex]a_n = a_1q^{n-1}[/tex]

[tex]a_n = 17.5(0.7)^{n-1}[/tex]

First 5 terms:

[tex]a_1 = 17.5[/tex]

[tex]a_2 = 17.5(0.7)^{2-1} = 12.25[/tex]

[tex]a_3 = 17.5(0.7)^{3-1} = 8.58[/tex]

[tex]a_4 = 17.5(0.7)^{4-1} = 6[/tex]

[tex]a_5 = 17.5(0.7)^{5-1} = 4.2[/tex]

Find the total distance the ball has travelled after it hits the ground the 5th time.

[tex]T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53[/tex]

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Step-by-step explanation:

2x+1

x = 5

2(5)+1

=10+1=11

Answer:

2(5)+1

10+1

11

Hope This Helps!!!

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

Answer:

0

Step-by-step explanation:

f(x) = 2/5(6 - x)²

f(6) = 2/5[6 - (6)]²

f(6) = 2/5(0)²

f(6) = 0

Answer:

the answer would be -1339/24

Answer:

You did give anything to solve

Step-by-step explanation:

x⁶ is just a single term

If you had posted an equation like

x⁶ = 64

Take the cube root of both side

x² = 4

Take the square root of both sides

x = ± 2

Answer:

Step-by-step explanation:

3 exponent 4

[tex] = {3}^{4} [/tex]

= 3 × 3 × 3 × 3

= 81 (Ans)

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

Answer:

x = 4.17

Step-by-step explanation:

We can use a ratio to solve

4.2 k                  2 k

---------------- = ---------------

8.76                     x

Using cross products

4.2 * x = 2 * 8.76

4.2x =17.52

Divide by 4.2

x=4.17

Answer:

2kg cost £4.18

Step-by-step explanation:

4.2 kg of oranges cost £8.76

:. 1 kg of orange cost £8.76/4.2 = £2.09

2kg cost 2 × £2.09 = £4.18

Answer:

Break-even point is at quantity 220.

Step-by-step explanation:

Given the rent amount that is fixed cost for the store = $550

The average cost of the goods = $3

The average price of the goods = $5.50

Let the total number of break-even items = Q

Thus, total revenue = 5.50 x Q = 5.50Q

At break-even, TR = TC

5.50Q = FC + VC

5.50Q = 550 + 3Q

5.50Q - 3Q = 550

2.50Q = 550

Q = 550 / 2.50

Q = 220

Thus break-even point is at quantity 220.

Answer:

7

Step-by-step explanation:

There are 14 birds sitting on the wall

One half of the birds are black

Therefore the number of black birds can be calculated as follows

= 14×1/2

= 14×0.5

= 7

Hence 7 birds are black

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

[tex]\sf{z = kxy}[/tex]

[tex]\sf\rightarrow{16=k(4)(6)}[/tex]

[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]

The equation of variation is,

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]

[tex]{\large{——————————————————}}[/tex]

#CarryOnMath⸙

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

Answer:

90%

Step-by-step explanation:

cost price of both tv = 2500

sale price of undamaged = 3000

sale price of damaged = 2200

sale price of both tv = 5200

profit = sale price - cost price

profit = 5200 - 2500

profit = 2700

profit percentage = profit × 100 ÷ cost price

profit percentage = 2700 × 100 ÷ 2500

profit percentage = 90%

Answer:

8 and 9

Step-by-step explanation:

let 'n' = smaller positive integer

let 'n+1' = larger

n² = 5(n+1)+19

n² = 5n + 5 + 19

n² = 5n + 24

n² - 5n - 24 = 0

(n-8)(n+3) = 0

n = 8  [this is the smaller positive integer]

n+1 = 9  [this is the larger positive integer]

n = -3  [this value can be discounted because it is not positive]

Answer:

your will becanswer $95.00

Answer:

105

Step-by-step explanation:

instalment time 10 months

so from 1050÷10

105 ans

Answer:

Step-by-step explanation:

x +(x+1500) = 9400

2x + 1500 = 9400

2x = 7900

x=3950 (men)

y = 5450 (woman)

5450 :3950

109:79

Answer:

D

Step-by-step explanation:

Given the 2 equations

a + b = 2 → (1)

a - b = - 4 → (2)

Add the equations term by term to eliminate b

2a + 0 = - 2

2a = - 2 ( divide both sides by 2 )

a = - 1

Substitute a = - 1 into (1) and solve for b

- 1 + b = 2 ( add 1 to both sides )

b = 3

Then

ab = - 1 × 3 = - 3 → D

Answer:

option d

Step-by-step explanation:

a+b=2. ,. a-b = -4

a= 2-b

substituting values, we get

(2-b) - b = -4

2 -b -b =-4

2 -2b =-4

-2b = -4-2

2b= 6

b =3

a = 2-3

a= -1

ab = 3×-1

ab = -3

Answer:

(i) Steps of Construction :

(i) Draw a line segment AB = 7 cm.

(ii) At B, draw a ray making an angle of 60° and cut off BC = 5 cm

(iii) Join AC,

∆ABC is the required triangle.

(ii) Steps of Construction :

(i) Draw a line segment BC = 6 cm.

(ii) At C, draw a ray making an angle of 75° and cut off CA = 5.7 cm.

(iii) Join AB

∆ ABC is the required triangle

(iii) Steps of Construction :

(i) Draw a line segment AB = 6.5 cm

(ii) At A, draw a ray making an angle of 45° and cut off AC = 5.8 cm

(iii) Join CB.

∆ ABC is the required triangle.

distance= rate * time

distance/rate=time

(2.4 *10^20)/ (1.2*10^5)  = 2 * 10^15 seconds

Answer:

6/10

Step-by-step explanation:

Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.

We can find a total amount of plants that are either flowers or bushes by combining the two.

Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.

[tex]\frac{1}{2} +\frac{1}{10}[/tex]

[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]

[tex]\frac{5}{10} +\frac{1}{10}[/tex]

[tex]\frac{6}{10}[/tex]

This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.

I hope this helped :)

Answer: 0.99

Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13

                                                   sin x =13x sin 90 divided by 85

                                                        sin x = 13divided by 85

                                                            sin x = .152941176

                                                arc sine of  .152941176=  8.79741071 degrees

                                        cos 8.79741071 = .988235294

                                                            .99

Answer:

Step-by-step explanation:

The standard form of a quadratic is

[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

[tex]y=(x-(+10))^2[/tex] and simplified:

[tex]y=(x-10)^2[/tex]  That is the parent graph shifted 10 units to the right.