find the measure of the angles indicated

Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Therefore:

[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]

Answer: No

Step-by-step explanation:

Substitute (2,12) into the second equation.

4(2) - (12) = 0

8 - 12 = 0

-4 = 0

This statement is false.

Answer: 54%

Step-by-step explanation:

In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.

A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.

P(S) = 30%, and P(T) = 24%

P(S or T) = P(S) or P(T) = 30% + 24%

= 54%

Answer:

x=14

Step-by-step explanation:

subtract 10 on both sides

24-10=14

x=14

Answer:

x = 14

Step-by-step explanation:

10 + x = 24

-10

x=14

( You subtract 10 from both sides. 24-10 =14. Therefore x =14

Answer:

The area of Polygon

W

WW is

49

4949 square units.

Step-by-step explanation: dk

Scale factors are used to enlarge or reduce the size of a shape

The area of polygon w is 49 square units

The area of polygon v is given as:

[tex]v =1[/tex]

The scale factor of the sides of polygon v, that forms polygon w is given as:

[tex]k=7[/tex]

The area of polygon w is then calculated as:

[tex]w =v\times k^2[/tex]

So, we have:

[tex]w =1\times 7^2[/tex]

Evaluate the exponents

[tex]w =1\times 49[/tex]

Multiply 1 and 49

[tex]w =49[/tex]

Hence, the area of polygon w is 49 square units

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Answer:

Hey!

Your answer is Y=-5x-6

Step-by-step explanation:

Using the formula y=mx+c...

m=slope c=y-intercept

The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)

The m is the slope do we write the slope value (-5)

Which forms y=-5x-6

HOPE THIS HELPS!!

Answer:

Step-by-step explanation

diameter makes a right angle at the circumference of the circle.

f=90°

Answer:

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Step-by-step explanation:

[tex] \cos A = \dfrac{adj}{hyp} [/tex]

For angle beta, adj = BC = 8, and hyp = AB = 17

[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]

[tex] \cos \beta = \dfrac{BC}{AB} [/tex]

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Answer:

Cos B = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos B = adjacent/ hypotenuse

Cos B = 8/17

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."

Answer:

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

or

The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place

Step-by-step explanation:

The decimal we are considering is 3.9928

The 9 in the tenth place has a value of 0.9

The value of 9 in the hundredth place has a value of 0.09

Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.

To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;

Mathematically, that would be;

0.09/0.9 = 0.1 = 1/10

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

or

The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place

Answer:

12,690 people are expected to vote for Mr Salva

Step-by-step explanation:

Here, we want to know the number of people that is expected to vote for a particular candidate in an election given that 54% of people surveyed had said they would vote for the candidate.

Now to calculate the number of people expected to vote for Mr Salva, what we need to do is to find the number out of 23,000 that actually represents a percentage of 54%

To do this, we find 54% of 23,500

mathematically, we have;

54/100 * 23,500

= 12,690

Answer:

71.25%.

Step-by-step explanation:

To find the average, we can simply add up the percentages and divide by how many there are.

We can do this by:

[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

Answer:

the answer is  7.75 g/cm3

Step-by-step explanation:

hope this helps

The density of the given block of stainless steel is 7.75 g/cubic cm. The value is obtained by the ratio of its mass to its volume.

The cuboid has rectangular faces with length(l), width(w), and height(h). So, the density of the material which is required to make the cuboid is calculated as follows:

Density = mass/volume

Where the volume of the cuboid is the product of length, width, and height.

I.e., Density = mass/ (l × w × h)

The given block has

length(l) = 8cm

width(w) = 5cm

height(h) = 3cm

The mass of the block is given as 930g

So, the density of the stainless steel is

Density = 930g/(8 × 5 × 3) cm³

            = 930/120 (g/cm³)

            = 7.75 g/cm³

Therefore, the density of the block is 7.75 g/cubic cm.

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Answer:

the answer is 6 pair of socks

Step-by-step explanation:

because one pair of socks is 2.25

so 6×2.25 is 13.50

Answer:

When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.

Answer:

infinite solutions

Step-by-step explanation:

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

Combine like terms

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

15(12x2+x+1) = 15(12x2+x+1)

Divide by 15

(12x2+x+1) = (12x2+x+1)

Since they are the same

x can be any real value

Answer:

All real values of x

Step-by-step explanation:

3(12x²+x+1)+12(12x²+x+1)=15(12x²+x+1)

(12x² + x + 1)(3+12) = 15(12x²+x+1)

15(12x²+x+1) = 15(12x²+x+1)

Since both sides are identical, all real values of x will satisfy the equation

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

Answer :

A. 368 ft²

Step by step

[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]

Answer:

386 ft :)

Step-by-step explanation:

Answer:

6.8556546004

Step-by-step explanation:

sqrt(47)=

6.8556546004

Answer:

-♾ < y < 5

Step-by-step explanation:

Range is set of all possible values for Y.

To know the range of value from graph one needs to see points on  axis beyond which the curve does not move.

Alternatively, we can say range is  the  value of y which is limiting the movement of curve beyond those limits.

Here we can see that upper point on curve is constrained at midpoint of  4 and 6 which is point 5.

Thus, upper limit is 5

which can be written as

y<5

___________________________________

For lower limit , it

Since , the at lower end curve is extended till the end of graph and the end of graph represents infinity. Also, this infinity is on the negative side of y .

Then lower end is -♾ .

which can be written as

y> -♾

Also we can see that graph is continuous one as there is no break in the curve between 5 and -♾.

Thus range of curve is from minus infinity to 5

which can be expressed as

-♾ < y < 5

Answer:

The slope is -2 and the y-intercept is 3

Step-by-step explanation:

Answer:

Circle 1 = 24 pi in² = 452.2 in²

Circle 2 = 706.5 in²

Circle 3 = 271.6 in²

Step-by-step explanation:

In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².

In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.

Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.

Answer:435

Step-by-step explanation:

Answer:

Area≈153.94in²

Answer:D

between 3 and 4

I got it right in khan!

Step-by-step explanation:

The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4

Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

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Answer:

Straight angles are all 180 degrees, so it must be an equation that equals 180. I hope that this helps! be saffffeee!

Answer:

140 x 180

Step-by-step explanation:

I suppose as many as we care to, but they're all congruent. We're given two angles and an included side.   ASA, angle side angle, is a theorem that yields congruent triangles.

Answer: 1

Answer: you can draw as many as you want, but they will all be congruent. So actually only one. It's the ASA theorem to prove congruence.

Step-by-step explanation: