Decide whether you have enough information to determine that the triangles are congruent. If they are congruent, explain why.​

Answer:

Step-by-step explanation:

→Perimeter (P)  = 2×(L+W)              Perimeter = 48m

But Length = 2 × Width

∴ P = 2×( 2W + W)

       = 2×(3W)

  48 = 6W

Divide both sides by 6

          [tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W

∴Width (W) = 8m  

→This means Length = 2W

                                = 2×8m

                             L = 16m

→Area of a rectangle = L × W

                               = 8m × 16m

     ∴ Area of the rectangular field= [tex]128m^{2}[/tex]                  

Answer:

D. Overpopulation

Step-by-step explanation:

Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.

Answer:

C. 21 1/9

Step-by-step explanation:

6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9

Answer:

the circumference of the circle is 50.24

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

No solutions

Step-by-step explanation:

Given inequality,

To Find:

Value of x in the inequality.

Solution:

Add -7 to both sides

Find absolute value

Why?

Reason:Because, absolute values can't be less than 0.

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

Answer:

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Step-by-step explanation:

A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.

In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Answer

0.823742

Step-by-step explanation:

just a genius

Answer:

(x-3) (x-3)

Step-by-step explanation:

[tex]4x {}^{2} - 24x + 36 \\ dividing \: through \: by \: 4 \\ x {}^{2} - 6x { }^{} + 9 \\ two \: numbers \: such \: that \: when \: you \: add \: them \: they \: give \: you \: - 6 \: and \: when \: you \: multiply \: them \: they \: give \: 9 \\ the \: numbers \: are \: \: - 3 \: and \: - 3 \\ x {}^{2} - 3x - 3x + 9 \\ x( x - 3) - 3(x - 3) \\ (x - 3)(x - 3)[/tex]

Answer: 1296 square inches

Step-by-step explanation:

1 square yard is 36 times 36 square inches

36 times 36 is 1296 square inches

Answer:

Kite

Step-by-step explanation:

Kite. A kite has one line of symmetry

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then  we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:

f(5) = 3⁵

f(5) = 243

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

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Answer:

Step-by-step explanation:

Given circle with area of:

Find its radius

Substitute the values and find the value of r:

Now compare this with answer choices:

Answer:

c

Step-by-step explanation:

Using z-scores, it is found that a female who weighs ​1700g has the more extreme value relative to the group from which they came.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the newborn male, we have that [tex]X = 1700, \mu = 3217.9, \sigma = 780.1[/tex], hence the z-score is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1700 - 3217.9}{780.1}[/tex]

Z = -1.946.

For the newborn female, we have that [tex]X = 1700, \mu = 3086.5, \sigma = 523.8[/tex], hence the z-score is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1700 - 3086.5}{523.8}[/tex]

Z = -2.645.

Due to the higher absolute value of the z-score, a female who weighs ​1700g has the more extreme value relative to the group from which they ca,e.

More can be learned about the z-scores distribution at https://brainly.com/question/24663213

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Answer:

B

Step-by-step explanation:

Median value = 14    ( the number in the middle of the ascending-order list)

2 quartile   25% are below 11

3 quartile    25% are above 18

min 9       max = 20

Answer:

i think it's b

Step-by-step explanation:

         In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,

        So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

Hope this helps. Have a good day!

Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)

Answer:

It is a cluster from $1.00 to $7.00 and

has no gaps.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Equation to represent the given situation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that:

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes each month.

Equation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Hence,  equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.

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Answer:

2/9 or 9/2

Step-by-step explanation:

The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)

If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.

Hope this helps! :)

Answer:

x = 50°

Step-by-step explanation:

Let's make 2 equations based on the properties of the triangles :

Applying Exterior Angle Property :

Divide equation 1 by 2 :

⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)

⇒ x/2 + ∠1 = ∠2

⇒ ∠2 - ∠1 = x/2

Similarly, rewrite equation 2 :

⇒ ∠1 + 25 = ∠2

⇒ ∠2 - ∠1 = 25

From these 2 equations, we get :

⇒ x/2 = 25

⇒ x = 25 × 2

⇒ x = 50°

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's consider the figure with two triangles,

Angle b is divided into two equal parts :

and similarly

Exterior angle C is divided into two equal parts :

Now, according to exterior Angle property :

In Triangle ABC

[tex]\qquad \sf  \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:2(z - y) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]

and in Triangle BDC

[tex]\qquad \sf  \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]

equate equation (1) and (2) :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{2} = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 25 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 50 \degree[/tex]

Answer:

3. (3, 6)
4. (3, 7)
5. (3, 36)

Step-by-step explanation:

These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.

When the ball hits the ground,

h=0

vt�16t^2=0

64t-16t^2=0..

t(64-16t)=0

t=0 (reject, not reasonable)

or

64-16t=0

16t=64

t=64/16=4

How long will it take for the ball to hit the ground? 4 seconds

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

Answer:

D)  x + √x - 6.

Step-by-step explanation:

(√x-2)(√x + 3)

= √x*√x + 3*√x - 2*√x - 2*3

= x + √x - 6.

Answer:

lol

Step-by-step explanation: