13. Is the following the graph of a function? Why or why not? ​

Answer:

m∠CBD = m∠CDB ⇒ proved

Step-by-step explanation:

Let us solve the question

∵ AB ⊥ BD ⇒ given

→ That means m∠ABD = 90°

∴ m∠ABD = 90° ⇒ proved

∵ ED ⊥ BD ⇒ given

→ That means m∠EDB = 90°

∴ m∠EDB = 90° ⇒ proved

∵ ∠ABD and ∠EDB have the same measure 90°

∴ m∠ABD = m∠EDB ⇒ proved

∵ m∠ABD = m∠ABC + m∠CBD

∵ m∠EDB = m∠EDC + m∠CDB

→ Equate the two right sides

∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB

∵ m∠ABC = m∠EDC ⇒ given

→ That means 1 angle on the left side = 1 angle on the right side, then

   the other two angles must be equal in measures

∴ m∠CBD = m∠CDB ⇒ proved

9514 1404 393

Answer:

  58. 2 real roots; see attached for a graph

  59. -6, 3

Step-by-step explanation:

58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.

__

59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.

Answer:

90 : 54 : 36

Step-by-step explanation:

Add the ratios:  5 + 3 + 2 = 10

Divide 180 kg by 10:  180 ÷ 10 = 18

Multiply each number of the ratio by 18:

5 × 18 : 3 × 18 : 2 × 18

⇒ 90 : 54 : 36

Step-by-step explanation:

please mark me as brainlist please

Answer:

36≥ -6x≥18

6≥-x≥3

so x is

-3,-4,-5&-6

Hope This Helps!!!

Answer:

[see below]

Step-by-step explanation:

A(4, 2), B(-3, -1), and C(5, –5)

[tex](x,y)\rightarrow(x+3,y-5)[/tex]

Point A:

[tex](4,2)\rightarrow(4+3,2-5)\rightarrow(7,-3)[/tex]

Point B:

[tex](-3,-1)\rightarrow(-3+3,-1-5)\rightarrow(0,-6)[/tex]

Point C:

[tex](5,-5)\rightarrow(5+3,-5-5)\rightarrow(8,-10)[/tex]

Hope this helps.

Answer:

The third one would be the option.

Step-by-step explanation:

If the tree is already at 18 inches on the 2nd year, then it would be at 9 inches on the first year, and at 27 on the third year. And so on.

Graph [3] represents the growth of the tree in inches per year.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is a tree in Dante's neighborhood grew 18 inches in the first 2 years after it was planted. The tree continues to grow at this same rate.

Since the tree grew 18 inches in the first 2 years and continues at the same rate, then it will grew by (18/2) or 9 inches per year. The equation that will represent this relation between growth [y] and time [x] is given by -

y = 9x

Graph number [3] represents the relation.

Therefore, graph [3] represents the growth of the tree in inches per year

To solve more questions on direct proportionality, visit the link below-

brainly.com/question/20400984

#SPJ1

Answer: 13.8

Step-by-step explanation:

Answer: $18.17

Step 1: Subtract 1 dollar.

$20 - $1 = $19

Step 2: Subtract 83 cents.

$19.00 - $0.83 = $18.17

Answer = $18.17

Answer:

20 yd^2.

Step-by-step explanation:

Area of base = 2^2 = 4 yd^2.

It has  4 side faces so:

Area of each triangular side = 1/2 * 2 * 4 = 4 yd^2

Total surface area = 4 + 4(4).

= 20 yd^2.

Answer:

b

Step-by-step explanation:

every cantaloup costs $3 so they would pay x × $3

but they got a $2 coupon so you have to deduct that.

Answer:

I believe the answer would be 122 degrees due to them being a consecutive angle on the same transverse!

Answer:

68

Step-by-step explanation:

Knowing that;

∠EHD and ∠CHF are vertical angles

Since ∠EHD = 68 Thus, ∠CHF = 68

Look at picture below for more information;

~Learn with Lenvy~

The aquarium would have a volume of 103950 cubic inches. Its dimensions are shown  in the image attached.

An aquarium is a container, often made of glass or acrylic, in which aquatic plants and animals are kept for display or research purposes. It can also be a building or room that houses such tanks.

We have been told that the volume of the water that can be held by the aquarium is 450 gallons of water. If we convert the gallons to cubic inches we would obtain 103950 cubic inches. The dimensions of the aquarium must therefore be such that it would a volume of 103950 cubic inches.

Learn more about aquarium:https://brainly.com/question/6567948

#SPJ1

Solution:

We know that:

Finding the area of the circle:

[tex] \large{|\underline{\mathbb{\red{G}\blue{I}\orange{V}\pink{E}\blue{N}\purple{}\green{ : }\red{}\blue{}\orange{-}}}}[/tex]

[tex] \large{|\underline{\mathbb{\red{T}\blue{O }\orange{ \: }\pink{ F}\blue{I}\purple{N}\green{D }\red{ : }\blue{ - }\orange{-}}}}[/tex]

[tex] \underbrace{\mathbb{CALCULATION}}[/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = \pi {r}^{2} [/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times {18}^{2} [/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times 324[/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 1017.36[/tex]

Thus, The area of the circle is 1017.36 yard²...~

Divide the length of the flag by its portion of the ratio, then multiply that by the ratio portion for the width:

28/7 = 4

4 x 4 = 16

The height is 16 feet

Answer:

16 feet

Step-by-step explanation:

If x:y=a:b, then xb=ya

4*7=x:28

4*28=7x

x=16

Answer:

72 ounces.

Step-by-step explanation:

Convert all the fractions to denominator of 24

9/24 4/24 10/24 = 23/24

23/24 = 69/1 so you can cross multiply ( i think)

Then you get 1656 / 23 which equals 72.

If this is wrong I am so sorry

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

Explanation:

He uses 3/8 of the amount to make bread, 1/6 of the amount to make pancakes, and 5/12 of the amount to make jam.

Add up those fractions. But first let's make each fraction have the LCD (lowest common denominator) of 24

3/8 = 9/24 .... multiply top and bottom by 3

1/6 = 4/24 .... multiply top and bottom by 4

5/12 = 10/24 .... multiply top and bottom by 2

Now we can add the fractions:

(3/8) + (1/6) + (5/12)

(9/24) + (4/24) + (10/24)

(9+4+10)/24

23/24

So in total, Wayne used up 23/24 of all the blueberries he bought.

Let's make this unknown amount x

x = amount of blueberries he bought, in ounces

Multiplying the sum we got (23/24) by x leads to the amount of blueberries he used, which is 69 ounces

So,

(fraction used)*(amount he bought) = (amount he used)

(23/24)*x = 69

23x = 69*24 .... multiply both sides by 24

23x = 1656

x = 1656/23 ... divide both sides by 23

x = 72

He bought 72 ounces of blueberries.

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

Let's check that answer

A = 3/8 of 72 = (3/8)*72 = 27 = amount used for bread

B = 1/6 of 72 = (1/6)*72 = 12 = amount used for pancakes

C = 5/12 of 72 = (5/12)*72 = 30 = amount used for jam

A+B+C = 27+12+30 = 69 = total amount used

This confirms our answer.

Answer:

D

Step-by-step explanation:

If there are 500 students and only 350 are going then just divide 350 by 500. (350 / 500 = 0.7

Answer:

A≈11039.41

Step-by-step explanation:

Plug in values

A=8300(1.0055)^{52}

A=8300(1.0055)

52

Simplify

A=11039.4131948

A=11039.4131948

Round)

A≈11039.41

After a 13-year span, the money in the account would be  $11.038.4.

As mentioned in the question,
Aubree invested $8,300 in an account paying an interest rate of 2.2% compounded quarterly.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
principal(P) = 8300
rate(r) = 2.2% = 0.022
Time(a) = 13 years,
n = 4
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 8300[ 1 + 0.022/4]⁴ˣ¹³
Amount = $11.038.4

Thus, After a 13-year span, the money in the account would be  $11.038.4.

Learn more about compound interest here: https://brainly.com/question/14295570

#SPJ2

Answer:

Goodluck I had this before and couldn't get it

Answer:

The answer is most likely uniform

Angles 2·x + 2, and x + 50, formed by the transversal are alternate

exterior angles, which gives, x = 48°, the correct option is therefore;

A) 48

From the position of the angles image showing two parallel lines having

a common transversal we have;

Angle 2·x + 2 and angle x + 50 are alternate exterior angles

The alternate exterior angles formed by two parallel lines that have a

common transversal are equal, therefore;

2·x + 2 = x + 50

Which gives;

2·x - x = 50 - 2 = 48

x = 48°

Learn more about the angles formed by two lines having a common transversal here:

https://brainly.com/question/963442

Answer:

Part A

1) Line

2) Angle

3) Point

4) Line Segment

5) Ray

6) Plane

Part B

1) Line Segment

2) Draw number 3 in part a times 2 with different letters

Answer:

111

Step-by-step explanation:

you need to subtract the amount of land taken up by the water and food sources and divide the rest by 3.

Answer: 6 trombones

Step-by-step explanation:

We can set up a proportion.

Let x be the number of trombones there are.

[tex]\frac{4 trombones}{6violas} = \frac{x trombones}{9 violas}[/tex]

We can cross multiply:

4*9 = 6x

6x = 36

Divide both sides by 6:

x = 6

[tex]\sf f(x) = 5(-2)^{\small{\dfrac{x}{6}}}[/tex]

For evaluating the given function at f(24) just substitute x = 24

[tex]\sf f(24) = 5\times(-2)^{\small{\dfrac{24}{6}}}[/tex]

[tex]\longrightarrow \sf f(24) = 5\times (-2)^4[/tex]

[tex]\longrightarrow \sf f(24) = 5 \times 16 [/tex]

[tex]\longrightarrow \sf f(24) = 80 [/tex]

Answer:

D

Step-by-step explanation:

Letter D is the only answer that gets the transformation of triangle ABC correct, since it is the only answer that describes a reflection across line p.

Letter A describes a reflection across the y-axis, which is incorrect because the triangle on the right is farther away from the y-axis than the triangle on the left.

Letter B describes a reflection across the x-axis, which is incorrect because the topmost triangle is farther away from the x-axis than the bottommost triangle.

Letter C once again describes a reflection across the y-axis, which is incorrect for the same reason as to why letter A is incorrect.

Therefore, the answer must be letter D.

Brianna's car

Step-by-step explanation:

Looking at the first equation the car decreases by 15% each year.

So our depreciation rate is 15%

The second equation represents an exponential depreciation with a depreciation rate given by;

1-0.9=0.1×100=10%

So our depreciation rate is 10%

Of course Brianna's car is decreasing in value quicker, since the car loses more value as the depreciation rate is higher.