Two right triangles will be congruent under a variety of scenarios besides HL. One of which is the following:

If the hypotenuse and an acute angle of one right triangle are equal,respectively, to the hypotenuse and an acute angle of another, then the right triangles are congruent. (Use the two triangles below, mark them up and then
decide on which congruence theorem will prove that the two are congruent (SAS, SSS, ASA, AAS or HL).

Explain why this must be true.

Answer:

In Geometry, there are five fundamental angle pair relationships:

Complementary Angles.

Supplementary Angles.

Adjacent Angles.

Linear Pair.

Vertical Angles.

The measure of the angle u and angle t will be 29 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angle u is congruent to angle t.

From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,

∠t + ∠u + 122° = 180°

∠t + ∠t  = 58°

2∠t = 58°

∠t = 29°

The measure of the angle u and angle t will be 29 degrees.

More about the angled link is given below.

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Answer:

< MRN and < NRO

Step-by-step explanation:

Recall that angles which forma linear pair ae those whose addotion gives 180 degrees (a line).

So in our case these are: < MRN and < NRO

Answer:$9,000

Step-by-step explanation:

150,000 x 0.06

Answer:

"a 72 inch player would probably weigh about 160 pounds"

Step-by-step explanation:

Answer:

Given a table, we can always simplify each ratio pair to find the unit rate. When the unit rate remains the same it is called the constant of proportionality, 'k'. Multiply or divide by the constant of proportionality, to solve problems depending upon the information you're given.

Answer:

g=153

Step-by-step explanation:

i hope this helped...

Answer:

[tex]\lambda=10000[/tex] miles

Step-by-step explanation:

We are given that

[tex]\beta=10000 miles[/tex]

Exponential distribution function

[tex]f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0[/tex]

             0, otherwise

Using the formula

[tex]f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0[/tex]

              0, otherwise

[tex]E(x)=\int_{-\infty}^{\infty}xf(x) dx[/tex]

Using the formula

[tex]\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx[/tex]

[tex]\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})[/tex]

Using formula

[tex]\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx[/tex]

[tex]\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000[/tex]

Hence, the value of [tex]\lambda=10000[/tex] miles

Answer:

the answer is the first one

Step-by-step explanation:

becuse im doing it rn

Answer:

it's A

Step-by-step explanation:

i took the test

Answer:

x = 1

Step-by-step explanation:

Answer:

The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Step-by-step explanation:

The equation of the line is defined by the following formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - y-Intercept.

[tex]m[/tex] - Slope.

In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:

[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)

Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]

[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]

[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]

[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]

[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)

If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:

[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]

[tex]k+10 -4\cdot k -2 = 20[/tex]

[tex]-3\cdot k +8 = 20[/tex]

[tex]-3\cdot k = 12[/tex]

[tex]k = -4[/tex]

The value of the slope is:

[tex]m = \frac{9-7}{2-6}[/tex]

[tex]m = -\frac{1}{2}[/tex]

The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Answer:

last one I think

Step-by-step explanation:

jejejeiwneieneisnsisneiwnsisna

Answer:

[tex]P = 2(l + w) \\ 2(l + w) > 300 \\ 2(100 + w) > 300 \\ 100 + w > 150[/tex]

For width

[tex]100 + w > 150 \\ w > 150 - 100 \\ w > 50 \: cm[/tex]

Answer:

the answer would be n= -10

Step-by-step explanation:

-5n+5 + 55

subtract 5 on both sides

-5n = 50

divide both sides by -5

n = -10

Answer:

discriminant equals zero

Step-by-step explanation:

b² - 4ac  where a = 1, b = -6, and c = 9

(-6)² - 4(1)(9)  =  36 - 36

Answer:

its 839 because it says in total-

Answer:

839

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

5z+200=360

5z=160

z=32

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Answer:

$23,800

Step-by-step explanation:

59.5 x 5 x 80 = $23,800

Answer:

2

Step-by-step explanation:

t=-2

(2(-2)-3)+9

(-4)-3+9

-7+9

2

Answer:

273 tiles

Step-by-step explanation:

Given

Square tile

[tex]Side=\frac{1}{2} ft[/tex]

Bathroom floor

[tex]Length = 10\frac{1}{2}ft[/tex]

[tex]Width = 6\frac{1}{2}ft[/tex]

Required

Determine the number of tiles to cover the floor

First, we calculate the area of the floor:

[tex]A_{floor} = Length * Width[/tex]

[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]

Convert to decimals

[tex]A_{floor} = 10.5 * 6.5[/tex]

[tex]A_{floor} = 68.25ft^2[/tex]

Next, we calculate the area of the square tile:

[tex]A_{tile} = Side * Side[/tex]

[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]

Convert to decimal

[tex]A_{tile} = 0.5 * 0.5[/tex]

[tex]A_{tile} = 0.25ft^2[/tex]

The number of tiles is then calculated as:

[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]

[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]

[tex]Tiles = \frac{68.25}{0.25}[/tex]

[tex]Tiles = 273[/tex]

Answer:

The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).

Answer:

B

Step-by-step explanation:

if you have a scientific calculator or you can also your phone it will show you the answer.

The value of expression in simplified form is,

⇒ - 77√30

The given expression is,

⇒ (- 7 √3) × (11 √10)

We can simplify it by multiply like terms,

⇒ (- 7 √3) × (11 √10)

⇒ (- 7 × 11) × (√3 × √10)

⇒ - 77 × √30

⇒ - 77√30

Therefore, The value of expression in simplified form is,

⇒ - 77√30

Learn more about the multiplication visit:

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Answer:

247000000

Step-by-step explanation:

10^8 = 10×10×10×10×10×10×10×10

=100000000

or, downloaded=100000000×2.47

=27000000

Answer: 453 more downloads   1,547 more downloads

7,549 more downloads   435 more downloads  ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~

Step-by-step explanation:

An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week

Answer: m=-7/9

Step-by-step explanation: You multiply them by 1 and it divided by themselves again.

Answer:

x = -10/7

Step-by-step explanation:

Start by replacing M(x) with m(1)

so you get...

1 = -7x - 9

+9        +9

10 = -7x

/-7    /-7

x = -10/7

Answer:

c

Step-by-step explanation:

that's the only one i could get i think i dont know im not good at math..... sorry if i didn't help

Answer:

40 servings

Step-by-step explanation:

2 1/2 / 1/16 = 5/2 x 16/1 = 80/2 = 40

Answer:

y= In(x)-5

Step-by-step explanation: