Julia is using this figure to prove that triangle ABC is an isosceles triangle. First, she used the converse of the perpendicular bisector theorem and the definition of perpendicular lines to determine that CE is the perpendicular bisector of AB.

Answer:

x is -1  

Step-by-step explanation:

-4 multiplied by x is -4x, then -4 x 3 is -12, which makes the problem -4x + -12  and you need to do the opposite so  add 4, -4x cancels out and then add 4 to -12 which is 8x

Answer:

the answer is 5 and (-7,5)

Step-by-step explanation:

The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

Given that:

The points at which the circle is centered are (-3,2)

Passing points = (1,5)

The radius is calculated using the distance formula:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

Substituting the coordinates, we have:

d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]

 = [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]

 =[tex]\sqrt{(4^2 + 3^2)[/tex]

 = [tex]\sqrt{(16 + 9)[/tex]

  = 5

Therefore, the radius of the circle is 5 units.

The equation of a circle with center (h, k) and radius r is given by:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Substituting the values, we have:

[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]

[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]

[tex](-4)^2 + (y - 2)^2 = 25[/tex]

[tex]16 + (y - 2)^2 = 25[/tex]

[tex](y - 2)^2 = 9[/tex]

Taking the square root of both sides, we have:

y - 2 = ±3

Solving for y, we have two possible values:

y - 2 = 3    

y = 5

y - 2 = -3

 y = -1

The points (-7, 5) and (-7, -1) both lie on the circle.

Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

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Answer:

yes

Step-by-step explanation:

Each batch requires   2/3 c / batch

  time 4 batches:    4 * 2/3 = 8/3 cups = 2 2/3 cups

    he has 3 cups ,  so he has enough to make 4 batches

Answer:

22 1/2

Step-by-step explanation:

1/4×6=1 1/2

3×7=21

21+1 1/2=22 1/2

Answer as a decimal = 22.5

Answer as a fraction = 45/2

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

Explanation:

Replace c with 6, and replace d with 7.

Then use the order of operations (PEMDAS) to simplify until you get a single number.

[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]

If you want to convert this to an improper fraction, then,

[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]

Answer:

y=0.5x + 4

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

Answer:

The answer is C y=0.5x+4

Step-by-step explanation:

The area of the training field to the nearest whole number is 8719 msq. meter

The given field is made up of a rectangle and 2 semi circles. The formula for calculating the area of the field is:

Area of the field = area of circle + area of rectangle

Area of field = 3.14(32)² + (86)(64)
Area of field = 3215.36 + 5504

Area of the field = 8719 msq. meter

Hence the area of the training field to the nearest whole number is 8719 msq. meter

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Answer:

the awnser is -3 11/24

Step-by-step explanation:

Don't know

-2 5/7

Yan po answer ko inadd ko po by fraction

Answer: 2 inches

At 8 days there will be 8/4 = 2

Difference = 2 - 0 = 2 inches

Answer:

9

Step-by-step explanation:

Put in the formula

[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]

[tex]\\ \rm\Rrightarrow 7255=6000(1+0.055)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.20917=(1.055)^t[/tex]

[tex]\\ \rm\Rrightarrow ln1.20917=tln1.055[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}[/tex]

[tex]\\ \rm\Rrightarrow t=3.5years[/tex]

Answer:

4 years (nearest year) or

3.5 years (nearest tenth) or

3 years, 6 months and 17 days (most accurate)

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 7255=6000(1+0.055)^t[/tex]

[tex]\implies \sf 7255=6000(1.055)^t[/tex]

[tex]\implies \sf \dfrac{7255}{6000}=(1.055)^t[/tex]

Take natural logs of both sides:

[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)[/tex]

[tex]\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}[/tex]

[tex]\sf \implies t=3.547416819...[/tex]

Therefore, the number of years the principal was invested is:

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Answer:

D

Step-by-step explanation:

Cos^2 2x=1/4

Cos 2x =+-1/2

2x=z

Cos z=+-1/2

z1=pi/3

z2=11pi/3

z1 and z2 are possible.

x1=pi/6

x2=11pi/6

Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

Answer:

38

Step-by-step explanation:

add 189+115 = 304

then 304÷8 =38

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.

Since A ∩ B = {4, 6}, we have

A - B = {2, 8, 10}

Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.

(A - B)' = {1, 3, 4, 5, 6, 7, 9}

Answer:

Hope the picture will help you...............

Multiply:

3437 x 42%
3437 x 0.42 = 1443.54

answer: $1443.54

Answer:

5. Mean = 11.5

6. Median = 11

7. Range = 12

8. Mode = 9 and 11

9. Interquartile Range (IQR) = 5

10. Mean Absolute Deviation (MAD) = 2.8

11. Just Replace the Values just like the example image.

12. Just draw the min = 7 and max = 19 dot plot.

Step-by-step explanation:

Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5

Mean = 11.5

Median: 7,8,9,9,11,11,12,14,15,19

Median in the center = 11

Range: Big Number -  Small Number

Range = 19 - 7 = 12

Range = 12

Mode = 9 and 11

Interquartile Range (IQR): Q3 - Q1

Q3 = 14 , Q1 = 9

IQR = 14 - 9 = 5

IQR = 5

Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10

MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8

MAD = 2.8

Answer:

4.15×10⁵

10⁵=100,000

4.15×100,000=415,000

Answer:

4.15 * 10^5.

Step-by-step explanation:

There are 5 digits after the initial digit(4).

So it is:

4.15 * 10^5

Answer:

a. the time spent answering homework

b. time finished and time started

c. subtraction

d. 7:20-6:50 (unsure how this is supposed to be laid out)

e. Carlo spent 30 minutes answering his homework

Answer:

a) [tex]x = 9[/tex]

b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]

Step-by-step explanation:

Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:

[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]

Now plug in x for both of the formulas to get their angles:

[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]

Answer:

3. 2x+12+3x-7=360

5x+5=360

5x=360-5

x=355/5

x=71

for exterior

2x+12=360

2x=360-12

x=348/2

x=174

Step-by-step explanation:

hope this will help you

Answer:

Falling action

Step-by-step explanation:

Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

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Both ∠AKL and ∠AKC have a value of 45 degrees. The rationale is that the regular polygons BKLC (rectangle) and ABCD are bisected by lines AK and KC respectively. Since the sum of angles in a right angle is 90°, thus half of that is 45°.

A regular polygon is a polygon that has two dimensions and can be made or drawn using at least three lines joined together.

Because, the sum of angles in a right angle is 90° and half of that is 45°, we can thus conclude that the values of ∠AKL and ∠AKC are both 45° each.

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Step-by-step explanation:

x is the temperature yesterday

Answer:

Step-by-step explanation:

The correct answer is

Write the equation 66=2y+3.

Answer:

Given equation:

[tex]10^{5x-2}=2^{8x-3}[/tex]

Take natural logs of both sides:

[tex]\implies \ln 10^{5x-2}= \ln 2^{8x-3}[/tex]

[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]

[tex]\implies (5x-2)\ln 10=(8x-3) \ln 2[/tex]

Expand brackets:

[tex]\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2[/tex]

Collect like terms:

[tex]\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2[/tex]

Factor left sides:

[tex]\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2[/tex]

[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]

[tex]\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3[/tex]

[tex]\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay[/tex]

[tex]\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)[/tex]

Simplify:

[tex]\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)[/tex]

[tex]\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}[/tex]

[tex]\implies x=0.4232297737...[/tex]

Answer:

t = 110°

Step-by-step explanation:

Triangle BCD is isosceles, so its base angles are congruent. This means m<CBD = m<CDB. Since m<CBD is 35, m<CDB is also 35.

The sum of angles in a triangle is 180, so the following equation can be written:

180 = m<CBD + m<CDB + m<BCD

We can substitute m<CBD and m<CDB with 35 and m<BCD with t and solve:

[tex]180 = 35 + 35+ t\\180=70+t\\t=110[/tex]

So t = 110°

Answer:$37.00

Step-by-step explanation: hope it helps