What side has the same length as BC?

Answer:

Step-by-step explanation:

1). If two right triangles are congruent by HL property of congruence,

   Their corresponding sides will be congruent.

   By this property,

   x - 4 = y + 3

   x - y = 7 -----(1)

   x = 2y ------(2)

   By substituting x = 2y in equation (1),

   2y - y = 7

    y = 7

    From equation (1)

    x - 7 = 7

    x = 15

2). If both the right triangles are congruent by HL property of congruence,

    Their height and and hypotenuse will be congruent.

    y + x = x + 7

    y = 7

    y + 5 = 2y - x

    y - 2y + 5 = -x

    -y + 5 = -x

    x = y - 5

    By substituting y = 7 in the equation,

    x = 7 - 5

    x = 2

Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

Learn more: https://brainly.com/question/13646998

Answer:

$28,366.90

Step-by-step explanation:

Answer: 28366.90

Step-by-step explanation: 20,000(1+.035/12)^120

Answer:

option C

Step-by-step explanation:

Because it increases with the same rate of 22.5.

To check that you can find the slope of the graph using two points from the graph.

I will take (1, 22.5) and (2, 45).

[tex]slope = \frac{y_2-y_1}{x_2-x_1} = \frac{45-22.25}{2-1} = 22.5[/tex]

Answer:

you can simply the answer a = 48

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

Answer:

The point A is on 2.5 on the number line.

Step-by-step explanation:

In order to find this answer you need to find where the point labeled A is to have a starting point. Secondly, what two numbers is the point located between or closer to? In this case the point is right between 2 and 3. Which would be a half of a number. So, because the point is located between 2 and 3 we would say that it is 2.5 or 2 and 1/2 because the number on the left of the point is usually a whole number. So, that would be on how you get 2 and 1/2.

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Answer: your question is poorly written attached below is the complete and well written question

answer : The minimal polynomial has degree m + 1 hence Z^m+1

Step-by-step explanation:

Given that

N ∈ L(V) is nilpotent

attached below is the required prove

Answer:

5

Step-by-step explanation:

if it's an equilateral triangle that means all sides are the same length

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

[tex]y = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

[tex]y = -x^2 - 2x + 3[/tex]

From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.

Answer:

intercept form

(sometimes called factored form)

Step-by-step explanation:

Answer:

Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Step-by-step explanation:

Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:

Pears: X

Blueberries: 3X

Strawberries: 3X - 2.5

X + 3X + 3X - 2.5 = 13.25

7X = 13.25 + 2.5

X = 15.75 / 7

X = 2.25

Pears: 2.25

Blueberries: 3 x 2.25 = 6.75

Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25

2.25 + 6.75 + 4.25 = 13.25

Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Answer:

-12.

Step-by-step explanation:

The opposite of -12 is 12.

The opposite of the opposite, which is 12, is -12.

In other words, the opposite of the opposite of a number gives you the starting value.

Answer:

i think maybe use Pythagorean Theorem :

call Kite is K

all state is S

we have KS²= KX²+ SX²

400=144+ SX²

so SX = 16, so that distance in feet between the stake and X is 16 feet

Answer:

16

Step-by-step explanation:

We can solve for a missing side using the Pythagorean Theorem

a² + b² = c²

where a and b = the legs and h = hypotenuse

Looking at the triangle created, we notice we are given a leg ( which has a measure of 12t ) and the hypotenuse ( which has a measure of 12ft )

That being said, we plug in what we are given into the Pythagorean theorem and solve for the missing side length ( aka b )

12² + b² = 20²

step 1 simplify

12² = 144

20² = 400

we now have 144 + b² = 400

step 2 subtract 144 from each side

144 - 144 cancels out

400 - 144 = 256

we now have 256 = b²

step 3 take the square root of each side

√b² = b

√ 256 = 16

we're left with b = 16

So we can conclude that the length from the ground directly over point x to the stake is 16 feet.

( important note: The Pythagorean theorem can only be used in right triangle. )

9514 1404 393

Answer:

  15 squre units

Step-by-step explanation:

The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...

  A = LW

  A = (5 units)(3 units) = 15 units²

The area of rectangle ABCD is 15 square units.

Answer:

n=14

Step-by-step explanation:

2x14=28-3=25

25/5 = 5

Answer:

84563 to 3 significant figure is 85,000.

Step-by-step explanation:

In this problem, we need to round off 84563 into 3 significant figures.

Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.

In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.

Hence, 84563 to 3 significant figures is 85,000.

Answer:

11 inches

Step-by-step explanation:

Given :

15 in of wire = 90 cents

At the same rate :

x inch of wire = 66 cents

Cross multiply :

90x = 15 * 66

90x = 990

x = 990 / 90

x = 11

11 inches of wire

Answer:

12π ft

Step-by-step explanation:

~Refer to the attachment for the solution. :)

Answer:

4/5 as a percent is 80% or 0.8

The value of P(A or B) if the probabilities are mutually exclusive is 0.9

Given the following probability values shown below;

P(A) = 0.60

P(B) = 0.30

If A and B are mutually exclusive, hence;

P(A or B) = P(A)+P(B)

P(A or B) = 0.6 + 0.3

P(A or B) = 0.9

Hence the value of P(A or B) if the probabilities are mutually exclusive is 0.9

Learn more on mutually exclusive events here: https://brainly.com/question/27588497

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Answer:

4x+5=2x-3 1-5

4x-2x=-3+1-5-5

2x=-2

[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]

x=

[tex]x = \frac{ - 2}{2} [/tex]

Answer:

[tex]y = 4(x - 4)^2 - 2[/tex]

or

[tex]y=4x^2 -32x + 62[/tex]

Step-by-step explanation:

Given

[tex]V = (4,-2)[/tex] --- vertex

[tex]P = (2,14)[/tex] --- point

Required

The equation of the parabola

The equation of the parabola is of the form

[tex]y = a(x - h)^2 + k[/tex]

Where

[tex]V (4,-2) = (h,k)[/tex] ---- the vertex

So, we have:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = a(x - 4)^2 - 2[/tex]

In [tex]P = (2,14)[/tex], we have:

[tex](x,y) = (2,14)[/tex]

Substitute [tex](x,y) = (2,14)[/tex] in [tex]y = a(x - 4)^2 - 2[/tex]

[tex]14 = a(2 - 4)^2 - 2[/tex]

[tex]14 = a(- 2)^2 - 2[/tex]

[tex]14 = a*4 - 2[/tex]

[tex]14 = 4a - 2[/tex]

Collect like terms

[tex]4a = 14 +2[/tex]

[tex]4a = 16[/tex]

Divide both sides by 4

[tex]a= 4[/tex]

So:

[tex]y = a(x - 4)^2 - 2[/tex] becomes

[tex]y = 4(x - 4)^2 - 2[/tex]

Open bracket to express the equation in standard form

[tex]y=4(x^2 -8x + 16) - 2[/tex]

[tex]y=4x^2 -32x + 64 - 2[/tex]

[tex]y=4x^2 -32x + 62[/tex]

Answer:

Part A.  linear

Part B. you would shade the solutions (2,0) (3,2) (4,4) (5,6) (6,8)... right side

Step-by-step explanation:

Hope this helps

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672