The area of triangle ABC is 50 square units. What is the length of CD?

Step-by-step explanation:

If we let the width be w, then the length is w+3.5.

This means that w(w+3.5)=11

w^2 + 3.5w - 11 = 0

2w^2 + 7w - 22 = 0 (multiply both sides by 2)

(2w+11)(w-2)=0

w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)

This means that w=2, and thus the length is 2+3.5=5.5

Answer:

Faces = 12

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

621 rounds to 600 because 21 is smaller than 50. 267 round to 300 since 67 is bigger than 50.

600-300=300

Answer:

[tex]\sf 2\sqrt{2}[/tex]

Step-by-step explanation:

First find h(10)

   h(x) = 2x - 8

   h(10) = 2*10 - 8

           = 20 - 8

           = 12

[tex]\sf g(x)=\sqrt{x-4}\\\\ g(h(10) = g(12) = \sqrt{12-4}\\[/tex]

                         [tex]\sf = \sqrt{8}\\\\ = \sqrt{2*2*2}\\\\ = 2\sqrt{2}[/tex]

Answer:

  1/10

Step-by-step explanation:

You can convert a percentage to a fraction by dividing it by 100%.

__

  10% = 10%/100% = 10/100 = 1/10

The slope of the road is 1/10.

Answer:

96

Step-by-step explanation:

12 ÷ 3 = 4 (therefore he is saving $24 four times in 12 weeks)

24 × 4 = 96

Answer:

152.5

Step-by-step explanation:

Answer:

119.32

Step-by-step explanation:

Coordinate pairs are organized like (x,y).

To determine a coordinate pair, we can determine each coordinate individually, then put them together.

Notice how the red point sits on the very edge of the graph.

When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.

When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.

Therefore, when we put the two coordinates together like (x,y), we get (0,2).

(0,2)

Answer:weight and the Oz would be the same for both problems

Step-by-step explanation:

Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

--------------------------

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

--------------------------

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

Answer:

  D.  Symmetric

Step-by-step explanation:

The symmetric property of congruence says, for objects A and B, ...

  if A ≅ B, then B ≅ A.

__

The symmetric property of congruence makes your statement true:

  if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

__

Additional comment

The other answer choices involve other properties:

  Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

  Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

  Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

The property which is illustrated by the given statement is Symmetric property.

Reflexive property states that for any number, c, the number is equal to itself.

Or in case of expressions, a + b = a + b.

Symmetric property states that, for any numbers m and n,

If m = n then n = m.

Transitive property states that, for any numbers m, n and o,

If m = n and n = o, then m = o.

Commutative property is for operation of numbers.

a + b = b + c

Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.

This is symmetric statement.

Hence the correct option is D.

Learn more about Symmetric Properties here :

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Using an exponential function, it is found that there will be 8290 landlines in 5 years.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that the initial value and the decay rate are given as follows:

A(0) = 25300, r = 0.2.

Hence the function is given by:

[tex]A(t) = 25300(0.8)^t[/tex]

In t = 5 years, the amount of landlines will be given by:

[tex]A(5) = 25300(0.8)^5 = 8290[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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Answer:34a

Step-by-step explanation:

because 6a-4=2a

4a+28=32a

2a+32a=34a

The statement that is not true is the walkways will create a 90 degree angle when they intersect.

The shape shown is a rectangle. A rectangle is a four sided quadrilateral with opposite equal sides. The walkway is along the diagonals of the rectangle.

The diagonals are of equal length. The diagonals bisect each other and form to two congruent right angle triangles.

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

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Answer:

the answer is A

Step-by-step explanation:

Given x2-2y= stock value

and

2x+5y= purchases

stock value must stay at or more than 6000

while purchases must stay under 2000

Answer:

See below ~

Step-by-step explanation:

Solutions :

6. Domain of the graph

⇒ Minimum value : x = -2

⇒ Maximum value : x = 6

⇒ Domain = [-2, 6]

===============================================================

7. Range of the graph

⇒ Minimum value : y = 0

⇒ Maximum value : y = 5

⇒ Range = [0, 5]

=============================================================

8. Function increasing

⇒ It is increasing from x = -2 to x = 1

⇒ Interval is : [-2, 1]

=============================================================

9. Function decreasing

⇒ It decreases from x = 4 to x = 6

⇒ Interval is : [4, 6]

=============================================================

10. Function constant

⇒ It remains constant from x = 1 to x = 4

⇒ Interval is : [1, 4]

1) Domain of a graph lies in the x axis: -2 ≤ x ≤ 6

In Interval Notation: [-2, 6]

2) Range of a graph lies in the y axis: 0 ≤ f(x) ≤ 5

In Interval Notation: [0, 5]

3) Interval where the function is increasing: -2 ≤ x ≤ 1

Interval Notation: [-2, 1]

4) Interval where the function is increasing: 4 ≤ x ≤ 6

Interval Notation: [4, 6]

5) Interval where the function is constant: 1 ≤ x ≤ 4

Interval Notation: [1, 4]

Answer:

B. x = 6

Explanation:

[tex]\rightarrow \sf x^2 = 36[/tex]

[tex]\rightarrow \sf x= \pm \sqrt{36}[/tex]

[tex]\rightarrow \sf x= \pm 6[/tex]

[tex]\rightarrow \sf x= +6, \ -6[/tex]

As asked for positive, (+)

[tex]\rightarrow \sf x = 6[/tex]

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 36[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{36} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \pm6[/tex]

but since we gave been asked to find positive solution, it's 6

So, correct choice is B. x = 6

Answer:

a. 7

b. 50

c. 11?

d. 8

Step-by-step explanation:

I think these are right

Answer:

1.28

Step-by-step explanation:

4/10 + 88/100

so this is unlike denominators so

4 times 10 and 10 times 10 equal to 40/100

so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28

Answer:

108

Step-by-step explanation:

five times a number x decreased by 2 can be expressed as by 5x- 2

Answer:

$2.39

Step-by-step explanation:

to find the cost of 1 pound , divide the cost of 4 pounds by 4

$9.56 ÷ 4 = $2.39

Answer: Choice C

f(x) = x+5

===========================================

Explanation:

The input x = -3 has 5 added to it to get x+5 = -3+5 = 2

The diagram shows the "-3" in the input oval pointing to "2" in the output oval.

Through similar steps, we have the input -2 map to the output 3. Also, the input 0 points to the output 5.

The input -5 should map to 0, but 0 isn't in the output list. So we ignore -5 in the input oval.

Answer:

$239.68

Step-by-step explanation:

Given

Solving

Answer:

x = - 43.5

Step-by-step explanation:

Step 1 : Simplify the given equation.

(8x - 20) - 16 = 10x + 51

8x - 20 - 16 = 10x + 51

8x - 36 = 10x + 51

Step 2 : Add/Subtract the alphabetical terms and numerical terms separately.

8x - 36 = 10x + 51

Step 3 : Add 36 on both sides.

8x = 10x + 51 + 36

8x = 10x + 87

Step 4 : Subtract 10x on both sides.

8x - 10x = 87

- 2x = 87

Step 5 : Divide - 2 on both sides.

x = 87/-2

x = - 87/2 (answer in terms of fraction)

x = - 43.5 (answer in terms of decimal)

Hence,

The value of x is - 43.5

Answer:

she is 66

Step-by-step explanation:

you multiply the age she as when you were born with 3 and get 66

ur wlcm :)

brainliest?

Answer:

(-4, 2), (-1, -3), (2,0), (4,3).

Answer:

x=6, y=5

Step-by-step explanation:

plug it in!

Answer:

Step-by-step explanation:

-5x + 5y = -5

6x - 5y = 11

x = 6

6 - y = 1

-y = -5

y = 5

(6, 5)

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y