Given: Segment AD is an altitude
Find: BC

Given: Segment AD Is An AltitudeFind: BC

Answers

Answer 1

Answer:

[tex]BC=71\text{ units}[/tex]

Step-by-step explanation:

Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.

Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:

[tex]12x+6=90[/tex]

Solve for x. Subtract 6 from both sides and then divide by 12:

[tex]12x=84\\[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

BC is the addition of the segments BD and DC. In other words:

[tex]BC=BD+DC[/tex]

We already know the equations of BD and DC. Substitute:

[tex]BC=(5x-7)+(2x+29)[/tex]

Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:

[tex]BC=(5(7)-7)+(2(7)+29))[/tex]

Evaluate:

[tex]BC=(35-7)+(14+29)[/tex]

Evaluate:

[tex]BC=28+43=71[/tex]

Therefore, the value of BC is 71 units.

Answer 2

Answer:

BC = 71

Step-by-step explanation:

12x + 6 = 90

x = 7

5x - 7 + 2x + 29 = 7x + 22

7(7) + 22 = 49 + 22

49 + 22 = 71

BC = 71


Related Questions

50 points pls help!!

Answers

Answer:

p = 23

q = 18

Step-by-step explanation:

The four interior angles of a square are all 90° each

 

 4p - 2 = 90

⇒ 4p = 92

⇒ p = 92 ÷ 4

⇒ p = 23

 5q = 90

⇒ q = 90 ÷ 5

⇒ q = 18

Answer:

p=23; q=18.

Step-by-step explanation:

1) m∠(XWZ)=90, then 4p-2=90 and p=23°;

2) m∠(WZY)=90, then 5q=90 and q=18°.

What value of x will make parallelogram abcd a rhombus? x =

Answers

The value of x that will make the considered parallelogram ABCD a rhombus is 4 units.

What is rhombus and some of its properties?

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).Its vertex angles are bisected by its diagonals.The triangles on either side of the diagonals are isosceles and congruent.

For this problem, the missing figure is attached below.

We see that the angle between the diagonals is [tex](3x- 12)^\circ[/tex]

It is given that ABCD is a parallelogram.

For ABCD parallelogram to be a rhombus, its diagonals need to be perpendicular to each other.

Perpendicular lines have 90° angle between them.

Thus, we need:

[tex](3x- 12)^\circ = 90^\circ[/tex]

Evaluating value of x:

[tex](3x- 12)^\circ = 90^\circ\\3x - 12 = 90\\\text{Adding 12 on both the sides}\\3x = 102\\\text{Dividing both the sides by 3}\\\\x = 12/3 = 4[/tex]

Thus, the value of x is 4

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Answer:

ANSWER:   x=34

Step-by-step explanation:

E2020

how do you simplify 24+3x=3x+2(3•4)

Answers

Answer:

all rational numbers

Step-by-step explanation:

24+3x=3x+2(3*4) shows that there can only be two possible answer, all integers or no solution. As you can see 2*3*4 is 24, making the answer all rational numbers.

The bear population increases at a rate of 2% per year. If there are 1,200 bears currently, how many bears will there be in 10 years?

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=\textit{elapsed time}\dotfill &10\\ \end{cases} \\\\\\ A=1200(1 + 0.02)^{10}\implies A=1200(1.02)^{10}\implies A\approx 1462[/tex]

Desperately need help

Answers

[tex]\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}[/tex]

Check the picture below.

Simplify the expression below. Show all steps.

√4x^2 ÷ 3y

Answers

Answer:

4x÷3y

Step-by-step explanation:

√4x^2 ÷ 3y

√16x÷3y

4x÷3y

Hoped it helped :)

multiply 8/2a^5 • 6/12a^2

Answers

Answer:

2/a^7

Step-by-step explanation:

what is the fractions that are multiples of 1/6

Answers

Answer:

1/31/2those would be the only ones

A kite flying in the air has an 11-ft line attached to it. Its line pulled taut and casts a 9 -ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.

Answers

Step-by-step explanation:

All we have to do is apply the Pythagorean theorem which states that +=

where c is the hypotenuse of the triangle or the side facing the 90° angle.

Moreover a & b are the other two sides of the triangle.

[tex]11 {}^{2} = {9}^{2} + h {}^{2} [/tex]

where h is the height from the ground

[tex]121 = 81 + {h}^{2} [/tex]

[tex]h {}^{2} = 121 - 81[/tex]

[tex]h {}^{2} = 40[/tex]

[tex]h = \sqrt{40} = 6.324[/tex]

Rounding to the nearest tenth,

[tex]h = 6.3[/tex]

please help its for algebra 1

Answers

Answer:

(-1, -6)

Step-by-step explanation:

If you do rise over run you get the same slope as 8x+7y=-50

(-1, -6) is the answer


what is the image of (-2, -5) after a reflection over the line y = x

Answers

Answer:

2, -5

Step-by-step explanation:

Answer:

(-5, -2)

Step-by-step explanation:

Rule for reflection over y = x :

(x, y) -> (y, x)

I’m just a bit confuse on 16. Can someone help me T__T

Answers

Answer:

40 degrees

Step-by-step explanation:

m<3 = m<4

2x=80

x=40 degrees

Write an equation of the line passing through (-4,7) and having slope - 5. Give the answer in slope-intercept form.

The equation of the line in slope-intercept form is

Answers

Answer:

Step-by-step explanation:

The general equation is y = mx + b

You already have m which is the slope. So the general equation becomes y = -5x + b

The point is meant to find b

x = - 4

y = 7

7 = - 5*-4 + b

7 = 20 + b                         Subtract 20 from  both sides.

7 - 20 = 20-20 + b           Combine

- 13 = b

Answer: y = - 5x - 13

How do I do this and what is the correct answer?

Answers

B=3

Hope this helps.
Correct me if I’m wrong.

Answer:

10 2/3

Step-by-step explanation:

[tex] \frac{24}{9} = \frac{8}{3} [/tex]

[tex] \frac{8}{3} + 8 = \frac{8 + 24}{3} = \frac{32}{3} = 10 \frac{2}{3} [/tex]

help with question pls I don't understand​

Answers

Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

3xy ( 5x^2 +2xy +3y^2)

Distribute the 3xy to all terms in the parentheses

3xy*5x^2+3xy*2xy+3xy*3y^2

15x^3y+6x^2y^2+9xy^3

Answer:

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

Step-by-step explanation:

multiple everything in the brackets by 3xy

3xy x 5[tex]x^{2}[/tex] = 15[tex]x^{3}[/tex]y

3xy x 2xy = 6[tex]x^{2}[/tex][tex]y^{2}[/tex]

3xy x 3[tex]y^{2}[/tex] = 9x[tex]y^{3}[/tex]

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

The are of a circle is 109.4cm^2. Calculate the length of its radius.

Answers

Answer:

r≈ 5.9 cm

Step-by-step explanation:

isosceles and equilateral​

Answers

Answer:

I think it is 60°

Step-by-step explanation:

b/c angle of triangle is 180° and when we divide 180° by 3 it will be 60°

In the following pictograph, how many total books have the four groups read?
a. 27
b. 90
c. 54
d. 9
Best answer gets brainliest!

Answers

Answer:

c; 54

Step-by-step explanation:

to find the answer you can first add all the books together

this can be represented by

3 + 2 + 2.5 + 1.5

this answer is 9

then multiply it by 6

9 * 6 = 54

is is c

Solve the compound inequality.
7

Answers

Answer:

Ok, first of all, that's not an inequlity. An inequality includes < or >, and also ≤ or ≥. 7 is not an inequality, so perhaps you made a mistake typing the question?

Step-by-step explanation:

Solve for all possible values of x : |x-3|+4=1

A: 6
B: 0
C: 6 or 0
D: no real solutions

Answers

Answer:

D: no real solutions

Step-by-step explanation:

Please show steps to answer. No links please

Answers

Answer:

18 hours after 10 AM

Step-by-step explanation:

We are looking for the time the helicopter and the plane will be the same distance from Burbank after 10 AM.We are given the two equations for the distance that the helicopter and the plane are away, in miles.It also says that R is the variable for time.Using this information, we need to solve for the time with broth equations, so we would set both up to be equal to each other, since they will be the same distance away from each other.It would look like this: -150r + 260 = -270r + 440.Add 150r to both sides.260 = -10r + 440.Add -10r to both sides.Now we have 10r + 260 = 440Subtract 260 from both sides.10r = 180Divide each side by 10 to isolate the R.R = 18.It would be 18 hours after 10 AM.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

(2)/(3)a-7+(7)/(18)a-5(1)/(6)

Answers

Answer:

19a - 141
-------------
     18

Step-by-step explanation:

Combine multiplied terms into a single fraction


Combine multiplied terms into a single fraction

Multiply the numbers


Help please???????????

Answers

Answer:

525

Step-by-step explanation:

i really dont know what it asking

How long will it take to count to 3,140,000 by 1's?
show you work!

explain your answer!

Answers

Answer:

A long time

Step-by-step explanation:

A long time

-A long time
A long time

help me please I don't understand​

Answers

Answer:

it is B. increasing

Answer:

C.it is a constant

Step-by-step explanation:

Hope this helped!

Please mark me as brainliest!

Which of the following probabilities is equal to approximately 0.2957? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.25 0.5987 0.50 0.6915 0.75 0.7734 1.00 0.8413 1.25 0.8944 1.50 0.9332 1.75 0.9599 p (negative 1.25 less-than-or-equal-to z less-than-or-equal-to 0.25) p (negative 1.25 less-than-or-equal-to z less-than-or-equal-to 0.75) p (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25) p (0.75 less-than-or-equal-to z less-than-or-equal-to 1.25)

Answers

A z-table is also known as the standard normal distribution table. The probability of P(0.75≤ z ≤ 1.25) is 0.121.

What is a Z-table?

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

As it is given that the probability and the z-table is given to us, as shown below,

 z          Probability

0.00       0.5000

0.25       0.59871

0.50        0.6915

0.75        0.7734

1.00         0.8413

1.25         0.8944

1.50          0.9332

1.75          0.9599

The following probabilities can be written as:

1.  The probability of P(-1.25)

[tex]P(-z)=1-P(z)\\\\P(-1.25)=1-P(1.25)\\\\P(-1.25)=1-(0.8944)\\\\P(-1.25)=0.1056[/tex]

The probability of P(-1.25) is 0.1056.

2.  The probability of P(-1.25 ≤ z ≤ 0.25)

[tex]P(-1.25\leq z\leq 0.25)=P(0.25)-P(-1.25)\\\\P(-1.25\leq z\leq 0.25)=0.59871-0.1056=0.49311[/tex]

The probability of P(-1.25 ≤ z ≤ 0.25) is 0.49311.

3.  The probability of P(-1.25 ≤ z ≤ 0.75)

[tex]P(-1.25\leq z\leq 0.75)=P(0.75)-P(-1.25)\\\\P(-1.25\leq z\leq 0.75)=0.7734-0.1056=0.6678[/tex]

The probability of P(-1.25 ≤ z ≤ 0.75) is 0.6678.

4.  The probability of P(0.25 ≤ z ≤ 1.25)

[tex]P(0.25 \leq z\leq 1.25)=P(1.25)-P(0.25)\\\\P(0.25\leq z\leq 1.25)=0.8944-0.59871=0.29569[/tex]

The probability of P(0.25 ≤ z ≤ 1.25) is 0.29569.

5.  The probability of P(0.75≤ z ≤ 1.25)

[tex]P(0.75\leq z\leq 1.25)=P(1.25)-P(0.75)\\\\P(0.75\leq z\leq 1.25)=0.8944-0.7734=0.121[/tex]

The probability of P(0.75≤ z ≤ 1.25) is 0.121.

Learn more about Z-table:

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Answer:

C

Step-by-step explanation:

P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. the authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. they will use a significance level of 5% for their test. upper-tail values a 5% 2.5% 1% critical z-values 1.65 1.96 2.58 what is (are) the critical value(s) for z in this study? –1.65 and 1.65 –1.96 and 1.96 1.65 1.96

Answers

The critical values of Z in this study are given by: Option C: -1.96 and 1.96

How to form the hypotheses?

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

For this case, we want to know if the two groups of teachers had different levels of job satisfaction.

Suppose that we have:

[tex]\mu_1[/tex] = mean of level of job satisfaction for first group of teachers.[tex]\mu_2[/tex] = mean of level of job satisfaction for second group of teachers.

Then, as the test is for checking if the difference exist, the null hypothesis will deny existence of any difference.

Thus, we get:

Null hypothesis: [tex]H_0: \mu_1-\mu_2 = 0[/tex] or we say [tex]H_0: \mu_1 = \mu_2[/tex]Alternate hypothesis:  [tex]H_1: \mu_1-\mu_2 \neq 0[/tex] or we say [tex]H_1: \mu_1 \neq \mu_2[/tex]

The alternate hypothesis creates two regions, on either side as:

[tex]\mu_1 < \mu_2[/tex] and [tex]\mu_1 > \mu_2[/tex]

This is why it is two tailed test.

The level of significance is 5% specified.

Thus, [tex]\alpha = 5\% = 5/100 = 0.05[/tex]

From the critical values table, the critical value(s) of Z for level of significance 0.05 and for two tailed test are: [tex]\pm 1.96[/tex]

Thus, the critical values of Z in this study are given by: Option C: -1.96 and 1.96

Learn more about hypothesis testing here:

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Answer:

Step-by-step explanation:

its option B

a practice field is 250 feet long . the game field is 40% longer than the practice field . how long is the game field

Answers

The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350

Find the sum of 3squared4 and 2 squared 3 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.​

Answers

Answer:

1

Step-by-step explanation:

you gotta add

PLEASE HELP!


subtract [tex]\frac{3p}{5}[/tex] - [tex]\frac{1}{6}[/tex]

Answers

Answer:

Your answer is: 18p-5/30

To subtract fractions, find the LCD and then combine.

Step-by-step explanation:

Hope this helped : )

Answer:

---------------------------------answer will be (18p-5)/30_____________________
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