Can you explain why the bottom angle always has to be 90 degrees?

The complete proofs with all the reasons and statements; have been enumerated below

The image showing the given triangle is missing and so i have attached it.

From the attached image, we can deduce that;

Statement 1; AB * BE = CB * BD

Reason 1; Given

Statement 2; CB/BE = AB/BD

Reason 2; Property of Cross Multiplication

Statement 3; ∠ABC ≅ ∠DBE

Reason 3; Vertical Angles

Statement 4; ΔABC ~ ΔDBE

Reason 4; SAS property of similarity

Read more about triangle proofs at; https://brainly.com/question/12852445

Answer:

x=22t and y=28(t-0.5)

140

51

Step-by-step explanation:

right on edg

Answer:

A pair of parametric equations representing the paths of the boats are

✔ x = 22t and y = 28(t – 0.5) (Negative 0.5).

From the time the ocean liner leaves until the ferry overtakes it is

✔ 140.

minutes at a distance from the port of approximately

✔ 51 miles.

Step-by-step explanation:

Edge 2022

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Answer:

Part A

750, 2250, 6750, 20250, 60750

Part B

1640250

Answer:

40 units

Step-by-step explanation:

For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;

m<BOJ = 90 degrees

m<BOJ = 4x - 6

Equating both to get x;

4x - 6 = 90

4x = 90+6

4x = 96

x = 96/4

x = 24

Since all the sides are equal, hence BO = JO = 2x-8

JO = 2x - 8

Substitute x = 24 into JO

JO = 2(24) - 8

JO = 48 - 8

JO = 40

Hence the measure of JO is 40 units

Answer:

7. 13.25mm

8. 83.25 mm

9. 551.55 mm²

Step-by-step explanation:

The shape of a coin is circular.

A Susan B. Anthony dollar coin has a diameter of 26.5 millimeters. Round your final answers to the nearest hundredth. Show your steps.

7. What is the radius?

The formula for radius = Diameter/2

= 26.5 mm/2

= 13.25 mm

8. What is the circumference?

The formula for the circumference of a circle = 2πr

= 2× π × 13.25mm

= 83.25220532 mm

Approximately to the nearest hundredth = 83.25 mm

9. What is the area?​

The formula for the area of a circle = πr²

= π × (13.25mm)²

= 551.54586025 mm²

Approximately to the nearest hundredth = 551.55 mm²

Answer:

this took hella long to do but it's B

Answer: The answer is: 693 ft^3 or 693ft cubed

Answer:-8

Step-by-step explanation:

Answer:

y = -7/4x + 5

Step-by-step explanation:

y = mx + b

y = -7/4x + 5

Answer: Point Form: ( 4 , 3 ) Equation Form: x = 4 , y = 3  

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Brainliest or a thank you please? :))

[tex]4000(1.003)^{(x-1)}[/tex]

Step-by-step explanation:

Answer:

h = 6.5 feet

Step-by-step explanation:

The height of the frog as a function of time is given by :

[tex]h= -0.5t^2 +3t+2[/tex] .....(1)

We need to find the maximum height reached by the frog. We can find it as follows :

Put [tex]\dfrac{dh}{dt}=0[/tex]

So,

[tex]\dfrac{d}{dt}(-0.5t^2 +3t+2)=0\\\\-t+3=0\\\\t=3[/tex]

Put t = 3 in equation (1).

[tex]h= -0.5(3)^2 +3(3)+2\\\\h=6.5\ feet[/tex]

So, the maximum height is 6.5 feet.

Answer:

x = 94

Step-by-step explanation:

(86 + x)/2 = 90

86 + x = 180

x = 94

Answer:

Its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The three ways to write a ratio is:

8/4

8 to 4

8:4

The ratio in simpliest form is 2/1

You would divide each "side" by 4

Answer:

15.46 gallons per minutes

Step-by-step explanation:

Garden hose was running for 1000 minutes

Volume of the pool = 15,460 gallons

What is the approximate rate at which water leaves the garden hose?

Rate at which water leaves the garden hose = Volume of the pool / running time of the hose

= 15,460 gallons / 1000 minutes

= 15.46 gallons per minutes

Rate at which water leaves the garden hose = 15.46 gallons per minutes

Answer: $8 bowl, noodles, bean sprouts, beef

Step-by-step explanation:

Answer:

its option B : 18x3 – 12x2 + 9x – 6

Step-by-step explanation:

[tex]12( \frac{ -2 }{3}) {}^{2} +23( \frac{ - 2}{3} )+10= \frac{16}{3} − \frac{46}{3} +10=0[/tex]

12x² + 15x + 8x + 10 has a binomial factor of (3x+2).

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

We may utilize the factor theorem, which asserts that if a polynomial f(x) has a component (x - a), then f(a) = 0, to identify which polynomial has (3x + 2) as a binomial factor.

In this situation, finding a value of x that reduces 3x + 2 to zero is necessary since we are trying to discover a polynomial that contains (3x + 2) as a component. We obtain x = -2/3 by solving 3x + 2 = 0.

Let's try the polynomials one by one:

(a) 6x³ + 3x² + 4x + 2:

f(-2/3) = 6(-2/3)³ + 3(-2/3)² + 4(-2/3) + 2

= -8/3 - 4/9 - 8/3 + 2

= -32/9,

so (3x + 2) is not a factor.

(b) 12x² + 15x + 8x + 10:

f(-2/3) = 12(-2/3)₂ + 15(-2/3) + 8(-2/3) + 10

= 16/3 - 10 - 16/3 + 10

= 0,

so (3x + 2) is a factor.

(c) 18x³ - 12x² + 9x - 6:

f(-2/3) = 18(-2/3)³ - 12(-2/3)² + 9(-2/3) - 6

= -32/3 + 8/3 - 6 - 6

= -32/3,

so (3x + 2) is not a factor.

(d) 21x⁴ + 7x³ + 6x + 2:

f(-2/3) = 21(-2/3)⁴ + 7(-2/3)³ + 6(-2/3) + 2

= 64/27 - 56/27 - 4 + 2

= 2/27,

so (3x + 2) is not a factor.

Therefore, the only polynomial that has (3x + 2) as a binomial factor is 12x² + 15x + 8x + 10.

Learn more about Quadratic equations here:

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Answer:

(x + 10)(x + 2)

Step-by-step explanation:

x² + 12x +20

(x + 10)(x + 2)

Answer:

(x+2)(x+10)

Step-by-step explanation:

The given trinomial needs to be factorised. On the basis of degree of power of polynomial it can also be called a quadratic polynomial . General form is ax² + bx + c .

= x² + 12x + 20

= x² + 10x + 2x + 20

= x ( x + 10 ) + 2( x + 10 )

= ( x + 2)( x +10)

Answer:

.305

Step-by-step explanation:

Step-by-step explanation:

2/33=6/x

x=99

since there are 11 rest stops and you are trying to find the space in the middle of the two rest stops.

99/11 rest stops

9 miles in between rest stops

9/y=30/1

9/30=y

3/10=y

.3 inches=y

Hope that helps :)

Answer:

1/12

Step-by-step explanation:

[tex]\frac{1}{4} - \frac{1}{6}[/tex]

[tex]\frac{6 - 4}{24}[/tex]

[tex]\frac{2}{24}[/tex]

Converting to its simplest form, divide numerator and denominator by 2 = 1/12

Answer:

(-6, -7)

Step-by-step explanation:

For the x coordinates:

-1 - 4 = -5

-1 + -5 = -6

For the y coordinates:

-5 + -3 = -2

-5 + -2 = -7

I don't know how to explain it well sorry