Determine the measure of the interior angle at vertex E.

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Answer: a = 115°

Reason Co interior angles add up to 180°

a + 65 = 180

a = 180 - 65

a = 115

Answered by Gauthmath must click thanks and mark brainliest

Answer:

equation: x/8 = 11

solution: 88

Step-by-step explanation:

Let our unknown number be the variable, x. Since we're dividing x by 8, we can rewrite it into these expressions: x/8 or x ÷ 8. Because x divided by eight equals eleven, we can translate it into this equation: x/8 = 11, or x ÷ 8 = 11.

To solve for the equation x/8 = 11, let's multiply each side by 8 so we can isolate the variable, x.

x/8 ⋅ 8 = 11 ⋅ 8

x = 88

Now that we've completed multiplying each side by 8, you can see that x = 88, meaning that the unknown number is 88.

Answer:

88

Step-by-step explanation:

Equation: 88/8

Solution: 11

Answer: 48 dimes, 15 quarter

Step-by-step explanation:

Given

The money is of the net worth of [tex]\$8.55[/tex]

If there is total of 63 coins

Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter

[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]

Solve (i) and (ii)

[tex]x=48,y=15[/tex]

Thus, there are 48 dimes and 15 quarters

9514 1404 393

Answer:

  C

Step-by-step explanation:

The ratio of highest-degree terms gives the horizontal asymptote:

  (-2x)/(x) = -2

The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.

Answer:

No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company

Step-by-step explanation:

Let's first state the hypotheses.

Null hypothesis; H0: p = 0.68

Alternative hypothesis; Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

Let's find the test statistic from the formula;

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

Answer:

75% of the specials served were salmon fillets

Step-by-step explanation:

We have that:

15 + 5 = 20 specials were served.

Of those, 5 were salmon fillets.

What percentage of the specials served were salmon fillets?

15*100%/20 = 75%

75% of the specials served were salmon fillets

Answer:

128/2=64/2=32

Step-by-step explanation:

you really need a help with that ? you don't know how to divide by 2 ? and then to divide the result another time by 2 ?

not to mention that you could achieve that with in division by 4 (as this is the save as dividing by 2 and then again by 2).

putting such questions in here is a farce and a waste of time for the helping people.

Explanation:

Each time we progress through a round, the teams count is cut in half.

After round one, there are 128/2 = 64 teams left (since we have 64 winning teams and 64 losing teams)

After the second round, there are 64/2 = 32 teams left over

Answer:

C. b2 – 4ac = 4

Step-by-step explanation:

Answer:

The graph is possible for  

Step-by-step explanation:

we know that

The discriminant of a quadratic equation of the form

is equal to

If D=0 the quadratic equation has only one real solution

If D>0 the quadratic equation has two real solutions

If D<0 the quadratic equation has no real solution (complex solutions)

In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)

so

therefore

The graph is possible for

...............................................................................................................................................

Answer:

b^2 – 4ac = 4

...............................................................................................................................................

Answer: x = 20

Step-by-step explanation:

Given

x - 19 = 1

Add both sides by 19

x - 19 + 19 = 1 + 19

x = 20

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2.4 mass increase

Step-by-step explanation:

6-3.6=2.4

Answer:

67%

Step-by-step explanation:

formula is = the new weight - the old weight/the old weight ×100%

=6-3.6/3.6 ×100%

=2.4/3.6×100%

=0.6666×100%

=66.6% approximately

67%

Answer:

the process is correct

Step-by-step explanation:

hope u like it

The order of Rotational symmetry is 2 (option B) for the given figure.

It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.

The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.

If we rotate the picture by 90°or 270°, then it wont match the initial figure.

If we rotate the picture by 180° from initial, it will match the figure.

If we further rotate it by 180°( full 360° completed) , it will again match.

Hence, it matches 2 times in a single rotation.

Therefore it has rotational symmetry of order 2.

To solve more questions about rotational symmetry refer:

https://brainly.com/question/16883531

#SPJ2

Answer:

f(1)=4

f(-3)=4

f(5)=-2

f(0)=2

f(-1)=0

f(3)=2

Step-by-step explanation:

Pose f(x) as your x value. Now apply to the graph

Answer:

14.3

Step-by-step explanation:

sin73 = opposite/hypotenuse = x/15

x = 15sin73 = 14.344571 = 14.3

Answer:

Hello,

remainder is 15/8

Step-by-step explanation:

[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]

Answer:

55/100 * x = 495

Step-by-step explanation:

The unknown number is x.

55% of x = 495

55/100 * x = 495

Answer:

yes, it is B

Step-by-step explanation:

every input value of x has an unique result value y.

there are no 2 values for x that produce the same result value y.

and there are no multiple result values possible for a subject x value.

bottom line, yes, it is a function, and a 1:1 function at that.

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

Answer:

452.16 cm²

Step-by-step explanation:

Given :-

To find :-

Solution :-

As we know that ,

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]

Step-by-step explanation:

Draw diagonal AC

The triangle ABC has sides 17 and 25

Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

h = 17 sin B

Area = 25*17 sin B = 408

sin B = 24/25

In ∆ ABC

Cos B = +- 7/25

= 625 + 289 — b^2 / 2*25*17

b^2 = 914 — 14*17 = 676

b = 26

h = 17*24/25 = 408/25 = 16.32

Draw the second diagonal BD

In ∆ BCD, draw altitude from D, say DE =h

BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2

BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

BD = √ 1152 = 33.94 m

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

The number N thought by Samantha divided by5 is expressed as;

[tex]\dfrac{N}{5}[/tex]

If the result is added to 4 and stored as R, then;

[tex]R = \dfrac{N}{5}+4[/tex]

This gives the required result

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = [tex]\{-\infty, \infty\}[/tex]

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = [tex]\{-\infty, \infty\}[/tex]

Learn more on domain and range here: https://brainly.com/question/13856645

Answer:

B

Step-by-step explanation:

answer is slope =2

use formula y2-y1 over x2-x1

two points of graph is (6,6) and (1,-4)

since 6 and -4 are both y, we take 6-(-4) over 6-1

we get 2

ask for further explanation if you need!!❤

Answer:

x ≤ 6

Step-by-step explanation:

Given

- 12x ≥ - 72

Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.

x ≤ 6

The ratio x : x : x√2 has two parts identical to each other ( x : x) this means two of the angles also need to be identical.

Answer: 45 -45 -90

Answer:

The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]

The function f reflected about the y-axis and translated 3 units left.  ---> [tex]g(x) = -7x-16[/tex]

The function f stretched vertically by a factor of 3 and translated up by 2 units.  ---> [tex]g(x) = 21x +17[/tex]

The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]

Step-by-step explanation:

Explanation could not be submitted; So, I added it as an attachment

Answer: answer below :)

Step-by-step explanation:

Answer:

First find the slope of the line = (y2 - y1) / (x2 - x1)   where the 2 points are (x1, y1 and (x2, t2).  

Then  substitute the values of  the slope (m) and one of the points   into the point-slope formula

y - y1 = m(x - x1)

Step-by-step explanation:

Find the slope using the slope formula  

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.