AB and BC are perpendicular line segments but I need help !! Please help me out

Answer:

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10Answer:

Step-by-step explanation:

Answer:

22 times 4 1/2 divided by 2

Answer:D

Step-by-step explanation:

It’s D

Answer:

b

Step-by-step explanation:

Answer:

use Pisagorth theormi

23²=18²+x²

x²=23²-18²

23²=529

18²=324

x²=205

so the x =√205

its nearly equal 14.3.....

Answer:

Calculus-based analytic geometry makes the cylinder, pyramid, and cone from "solids of revolution". From there, they can measure the length or radius of the base, and then the height. This is true even if the solid of revolution is along the X axis intead of the Y axis. Then someone "figured out" the formula, just like they did with a cube, and proved it.

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

[tex]m\angle RPS=90^\circ[/tex]                       [Right angle]

[tex](5x+15)^\circ=90^\circ[/tex]

[tex](5x+15)=90[/tex]

[tex]5x=90-15[/tex]

[tex]5x=75[/tex]

Divide both sides by 5.

[tex]x=\dfrac{75}{5}[/tex]

[tex]x=15[/tex]

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

[tex]m\angle RQP=(2x+3)^\circ[/tex]

Putting [tex]x=15[/tex], we get

[tex]m\angle RQP=(2(15)+3)^\circ[/tex]

[tex]m\angle RQP=(30+3)^\circ[/tex]

[tex]m\angle RQP=33^\circ[/tex]

Therefore, the measure of angle RQP is 33 degrees.

Answer:

7.76

Step-by-step explanation:

tan 29° = XY/14

XY = tan 29° (14)

= 7.76

Answer:

XY=7.76

Step-by-step explanation:

Tan25° says opp÷adj

so it's Tan29°=XY÷14

then multiply both sides by 14 to make CY the subject of the formula...

14×Tan29°=XY

therefore=XY=7.76

Answer:

x=10  3x= 30

Step-by-step explanation:

3x = 30 since the angles are vertical angles

3x/3 = 30/3

x = 10

Answer:

B

Step-by-step explanation:

Set up an equation:

30 = 3x

Divide both sides by 3:

10 = x

x = 10 degrees

Plug the value of x into the angle:

3 × 10

30 degrees

Answer:

See below.

Step-by-step explanation:

30 + 15c = 10 + 20c

15c - 20c = 10 - 30

-5c = -20

c = 4

When they both catch 4 criminals, they earn the same amount of money.

Answer:

b and c

Step-by-step explanation:

0.775 is bigger than .7 or .70

17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5

Hope this helped <3

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

Answer:

21 feets

Step-by-step explanation:

Since the lure is 21 feets beneath the water surface,

The the elevation of the lure is - 21 feets

If the surface of water = x

Then current distance of lure equals :

x - 21

To obtain the nunber of feets to reach the water surface ;

x - 21 = 0

x = 21 feets

Answer:

Look Im pretty sure key word pretty sure that it is F

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

(2x + 4) and (12x + 8) are same- side interior angles and sum to 180° , then

2x + 4 + 12x + 8 = 180

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

the height of the cylinder is 28cm

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

Answer:

[tex]\$ 80[/tex]

Step-by-step explanation:

Since we know the price per square meter, we can find area of the figure and multiply it by the price per square meter.

The area of the composite figure consists of a trapezoid and a rectangle.

Area of trapezoid: [tex]\frac{(8+4)}{2}\cdot 2=6\cdot 2 = 12\:\mathrm{m^2}[/tex]

Area of rectangle: [tex]4\cdot 2=8\:\mathrm{m^2}[/tex]

Therefore, the area of the composite figure is equal to [tex]12+8=\boxed{20\:\mathrm{m^2}}[/tex]. Since the problem states that it will cost Anthony $4 per square meter, the total cost to tile the entire figure will be [tex]20\cdot 4=\boxed{\$80}[/tex]

Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Step-by-step explanation:

Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.

To find: The  ratio represents the cosine of ∠H.

According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]

So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]

Cosine of [tex]\angle H=\frac{21}{29}[/tex]

hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

X (5, - 1 ) → X' (- 5, - 1 )

Y (1, 4 ) → Y' (- 1, 4 )

Z (- 8, 0 ) → Z' (8, 0 )

Answer:

28√108

Step-by-step explanation:

4√6 * 7√18

28√108

Thank You

Hope u understand

Please mark as brainliest

Answer:

0.29

Step-by-step explanation:

Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35

Frequency of grade B = 10

Probability = required outcome / Total possible outcomes

Required outcome = frequency of grade B = 10

Total possible outcomes = total grade frequency = 35

P(B) = 10 / 35

P(B) = 0.2857

P(B) = 0.29

Answer:

Normal selling price is Rs 4500

Explanation:

1) Selling price = original price × (100-d) / 100

d = reduced price percentage

2) Rearrange the formula

original price = (selling price × 100) / (100 - d)

S.p = 3825

d= 15%

let original price = x

Therefore

x = (s.p×100) / (100-d)

x = (3825×100) ÷ (100-15)

x = 382500/85

x = 4500

consider the original price x

offer15% = 15x/100

Saling price = x - 15x/100

3825 = 85x/100

x = (3825×100)÷ 85 = 4500 rs

Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs

Answer:

2.77

Step-by-step explanation:

39.50x.07=2.77