Question 2 of 10
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size,
D. The triangles have the same shape.

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio in the given triangle, we get

[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]

[tex]7=t[/tex]

Therefore, the value of t is 7 millimetres.

Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

The function's zeros are

0=x+2 x=-2

and

0=x+7 x=-7

Consequently, the graph at y=0 where the function crosses those two points .

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Answer:

(number of days)/7

Step-by-step explanation:

1 week = 7 days

Divide the number of days by 7 to find the number of weeks.

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

Answer:

B

Step-by-step explanation:

The null hypothesis is rejected.

The mean is not greater than $175.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

Sample size (n) = 6

Sample mean ([tex]\bar x[/tex]) = $80

Sample standard deviation(s)=6.3

Significance level(α)=0.05

We have to test the claim that the true mean greater than $175.

The null and alternative hypotheses:

H₀ : μ = 175

H₁ : μ > 175

Here, Population Standard deviation is unknown and sample size is less than 30.

So we will use t- distribution.

Test Statistic t,

t   = ([tex]\bar x[/tex] - μ) / {s/√n}

t  =  (80−175) / (6.3 /√6)

t   =  (80−175) / (6.3 / 2.45)

t  = − 95 / 2.57196423

t = −36.937

degree of freedom (df) = n−1

                                     = 6−1

                                     = 5

p-value at  t = −36.937, df = 5 and α = 0.05

Absolute value of −36.937 = 36.937

Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.

So, p-value = 1

Since, p-value > α

That means, we fail to reject the null hypothesis (H₀).

Therefore, the true mean is not greater than $175.

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Two equations that have the same solution as the given equation are;

2.3p – 10.1 =  6.49p – 4

230p – 1010 = 650p – 400 – p

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

The given equation: 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

2.3·p - 10.1 = 6.49·p - 4

Multiplying both sides of the original equation by 100 gives

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

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Answer:

Step-by-step explanation:

Okay, let's do 88/9 = 9 R 7

The R7 will go in the small box, so 7 is your answer

Hope that helps! :)

-Aphrodite

Answer:

Angle AGF = 140

Step-by-step explanation:

180-40 = 140

Answer:

Step-by-step explanation:

LHS = tanθ/secθ - 1 + tanθ/secθ + 1

Cross multiplication,

tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ

= tanθ(1 - secθ - 1 - secθ)/-tan^2θ

= -2secθ/-tanθ

= 2 x 1/cosθ / sinθ/cosθ

= 2cosecθ = RHS

Hence proved.

Answer:

7290 joules

Step-by-step explanation:

The formula for kinetic energy is mv²/2 so let’s put the numbers in:

180*81/2 which is 7290 joules

would be amazing if you marked this brainliest :)

Answer:

option a is correct

Step-by-step explanation:

any square is also a rhombus

Answer:

8

Step-by-step explanation:

Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:

⇒ 60 = 6x + 12

Subtract 12 from both sides

⇒ 48 = 6x

Divide by 6

⇒ x = 8

Therefore, the answer is 8.

9514 1404 393

Answer:

  D

Step-by-step explanation:

Your calculator* can tell you the answer to this. Each expression is evaluated according to the order of operations.

A: 6 + 4/3·3 = 6 +(4/3)·3 = 6 +4 = 10

B: (6 +4/2) -1·3 = 6+2-3 = 5

C: 6 +(4/2) +1·3 = 6 +2 +3 = 11

D: (6 +4)/2 -1·3 = 10/2 -3 = 5 -3 = 2

_____

* If your calculator doesn't properly use the Order of Operations, you should get one that does. The calculator behind the Go.ogle search box reliably uses the order of operations, so you can use it if your own doesn't work properly.

Answer:

First Row:

75/100

0.75

75%

Second Row:

10/100 (or 1/10)

0.10

10%

Step-by-step explanation:

Count the squares that are shaded in out of the 100.

Just divide the fraction together for the decimal.

Move the decimal two places to the right to get the percentage

The transformation in the graph is 1 units vertically downwards.

The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.

Let the function f(x) and g(x) are two real functions.

And  g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given:

The function f(x) = eˣ,

and the function g(x):

g(x) = f(x)-1= eˣ-1.

The graph of both the functions are given in the attached images.

For the base function f (x) and a constant k, the function given by

The transformations in the graph is defined by:

g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The value of k determines the direction of the shift. Specifically,

if k > 0, the base graph shifts k units upward, and

if k < 0, the base graph shifts k units downward.

Here, k = -1

And the graph of g(x) is the graph of f(x) is shifted down 1 unit.

Therefore, the f(x) is shifted to 1 unit downward.

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Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

Answer:

95.25 or 95

Step-by-step explanation:

[tex]C=2\pi r[/tex]

C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95

Hope I helped you my dear friend.

Answer:

6

Step-by-step explanation:

2x is x * 2

-2 * 2 = -4

2y is y * 2

5 * 2 = 10

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

-2 times 2 = -4

2 times 5 = 10

10-4 = 6

2x and 2y are Both Different terms.

Answer: 10:48 AM

Explanation:

Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.

Hope this helps!!! :)

Answer:

Your answer is B

Step-by-step explanation:

edge = V^1/3

edge = 216^1/3

Answer:

Where are the questions

Answer:

C. 7.203

Step-by-step explanation:

I calculated it logically

The solution is, :  the missing value for the exponential function represented by the table below is 7.203.

Option c.,  7.203

Here, we have,

Exponential sequence is given as

21, 14.7, 10.29, ____, 5.0421

Explicit formula of the function is given by

a_n = a* r^(n-1)

when, we have,

a = first term = 21

r = common ratio

  = 14.7/21

  = 0.7

So the sequence will be

a_n = 21* 0.7^(n-1)

We have to find the forth term of the sequence

  a₄ = 21(0.7)³

      = 7.203

so, we get,

a₄ = 7.203

Option C. 7.203 is the answer.

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