Ms. Morales showed her geometry students the figure below and told them that DE || BC. She asked them to use this information to prove that DE divides AB and AC proportionally.

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Answer:

121

Step-by-step explanation:

Number of sides = n = 7

Sum of all the interior angles = (n -2)*180 = (7-2) *180

                                                = 5 *180

                                                = 900

x +  125 + 119 +117 +145 + 133 + 140 = 900

x + 779 = 900

x = 900 - 779

x = 121

Answer:

x = 121°

Step-by-step explanation:

The formula to find the sum of interior angles of a polygon is:

180 ( n - 2 )

Here,

n ⇒ number of sides ⇒ 7

First, let us find the sum of the interior angles of the polygon.

180 ( n - 2 )

180 × ( 7 - 2 )

180 × 5

900°.

Accordingly, let us make an expression to find the value of x.

145 + 133 + 140 + 125 + 119 + 117 + x = 900

Let us solve for x now.

779 + x = 900

Subtract 779 from both sides.

x = 900 - 779

x = 121

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

3x ≤ 21

x≤7

that means any answer possible is below 7.

Answer:

A.

Step-by-step explanation:

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

Answer:

2 pints

Step-by-step explanation:

To determine the amount of pints that Emily has more than Josh, gallons and quarts have to be converted to pints and the value is then subtracted

1. Convert gallons and quarts to pints

1 gallon = 8 pints

6 gallons = 8 x 6 = 48 pints

1 quart = 2 pints

23 quarts = 2 x 23 = 46 pints

2. Determine the difference in the amount of pints Emily has and the amount Josh has

48 pints - 46 pints = 2 pints

1/2 (a+b)h

1/2 (a+16)14=132

8×14=112

14÷2=7

132-112=20

20÷7 =2.857142857

so then a= 2.86 (3sf)

For more questions like that turn it into equation the make a subject of formula

Answer:

one side is 11ft

the area is 121 ft squared

Answer:

the length of one side is 11 and the area would be 121

Answer:

Step-by-step explanation:

Original price = x

75% of 70% of x = $42

0.75*0.70x =$42

x = $42/(0.75*0.70) =$42/0.525 = $80

Answer:

15 players

Step-by-step explanation:

First, you might want to exclude out how much it cost to rent a bus.

1479.25 - 800.50 = 678.75

After that, the remaining amount of money is how much money is spent altogether for the basketball player's meal, since each player had the same budget for the meal, it made the question easier.

678.75 ÷ 45.25 = 15

Answer:

MARISSA WHATS THE SNAP I BET U BAD

Step-by-step explanation:

Answer:

A) it's positive

B) 37/30 or 1 7/30

Step-by-step explanation:

Answer:

74.6

Step-by-step explanation:

The area of the given triangle in the image is 74.8m².

A triangle is simply a polygon with three vertices with three edges.

A scalene triangle is the triangle with no equal sides and angles.

It area can be calculated using the expression;

A = 1/2 × absinθ

Given the data in question;

To determine the area of the triangle, we substitute our given values into the expression above.

A = 1/2 × absinθ

A = 1/2 × 15m × 11m × sin( 115° )

A = 0.5 × 15m × 11m × 0.9063

A = 74.76975m²

A = 74.8m²

Therefore, the area of the given triangle in the image is 74.8m²

Learn more about area of triangle here: https://brainly.com/question/19305981

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.

Answer:

1000

Step-by-step explanation:

round up if 5 or bigger

round down if less than 5

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

Answer:

Option B (the pentagonal pyramid)

Step-by-step explanation:

Given the pentagram, we can see a pentagon in the middle. The pentagonal prism (option A) and pentagonal pyramid (option B) both have bases of a pentagon. However, their nets are different. Only the pentagonal pyramid's net is that of a pentagram. Therefore, option B is correct.

Answer:

-128

Step-by-step explanation:

(-2)^2  *  (-2)^5 <---

First, add the exponents

(-2)^7<----

If you evaluate this you will get

-128

Answer:

Step-by-step explanation:

How many people used the public pool altogether? There isn't enough info

Anyways,

You would write two equations and solve using substitution / elimination / graphing

one equation is:

1.5x + 2.25y = 1258.5

(x is children, y is adults)

Answer:

158

Step-by-step explanation:

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

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Answer:

[tex] - \frac{1}{5} [/tex]

A cone has a diameter of 12 centimeters and a height of 9 centimeters. The volume of the cone would be 2034.72 cubic cm.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

A cone has a diameter of 12 centimeters and a height of 9 centimeters.

Radius = 12/2 = 6cm

Height h = 9 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times 6^3 \times 9\: \rm unit^3\\\\V = 3.14 \times 648\\\\V = 2034.72 cm^{3}[/tex]

Hence, The volume of the cone would be 2034.72 cubic cm.

Learn more about volume of cone here:

https://brainly.com/question/26093363

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Answer:

The Y-intercept is 4 or (0,4) in a plot

Step-by-step explanation:

To find the Y-intercept you need to make the "x" zero so if you move 5 to 4 in the "x" plot you need to move 16 to 13

(Since 22 to 19 is -3 19 to 16 is -3 as well it is safe to say that the next number is 13)

Now continue until you reach 0 in the "x"

4 to 3 and 13 to 10

3 to 2 and 10 to 7

2 to 1 and 7 to 4

So the y-intercept is 4 or (0,4) in a plot

Hope this helps! Sorry if I am late