Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (points P and Q are not at point A) in such a way that PC=PQ. Find m∠PQC.

Answers

Answer 1

Answer:

15°

brainlest

Step-by-step explanation:

Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)

The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.

Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°.  Angle PQC has the same measure as angle RQC, so is 15°.

Angle PQC is 15°.


Related Questions

Fill in the missing values
in the empty boxes
based on the pattern.
Х
y
-5
17
-3
11
-1
5
1
3

Answers

x

ysalamst po

-17-30sanaol

What is the final amount if 700 is decreased by 6% followed by a 7% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

700 -6% =658 and 658-7%=611.94

14^6 ÷ 14^4 please :)​

Answers

Answer: 196 :)

Step-by-step explanation:

Answer:

196

follow pemdas   (exponents first)

4(7-8n)=-2n+8(6-5n) point slope from

Answers

Answer:

n = 2 i beleve

Step-by-step explanation:

i dont know if this is right but i did the math and im in 6th grade so im not really good with that stuff

<3 have a good day <3

8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.

Answers

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio

Answers

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

Find the lowest common multiple (LCM) of 18 and 21.

Answers

LMC (18,21) = 126

ok done. Thank to me :>

Zoya sells insurance. She earns $10,25/hour and 8% commission on all her sales. Last week
she worked 35 hours and sold $2058 worth of insurance. How much did she eam all together?

Answers

Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

PLEASE HELP ME I NEED SOME ASSISTANCE

Answers

Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

C.... it is clear on the pic btw hope this helps

6p-9ps+4q-6qs

need help w this

Answers

Step-by-step explanation:

[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

I have "Write an equation for each problem. Then solve the equation.

The opposite of a number is -9. What is the number? I know the opposite is 9 but I don't understand how to make this an equation

Answers

Answer:

9

Step-by-step explanation:

if the opposition of a number is equal to -9.

hence the expression above....

deffenition of polynomial function

Answers

Answer:

A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.

2x + 6 = 6x - 22 how many solutions does this have

Answers

Answer:

This equation has one solution.

Step-by-step explanation:

2x + 6 = 6x - 22

=> 28 = 4x

=> x = 7

This equation has one solution.

Hoped this helped.

I HAVE 4 MINS TILL THIS IS DUE PLEASE FOR THE LOVE OF GOD HELP ME

Answers

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Use the transitive property of equality to finish the equations

Answers

Answer:

since 4y=12 and 4y=2x then 4y=12=2x or 12=2x

8.G.4: On the coordinate plane shown below, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations. Which statement describes the transformation of Figure 2 into Figure 3?

Answers

Answer:

A

Step-by-step explanation:

the anwers is A

Answer:

i think it b

Step-by-step explanation:

the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line

Answers

Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1

24.0370085031 as a whole number

Answers

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

4) Monica swam 4 laps in 15 minutes. At this rate, how many laps would she swim in 45 minutes?
O 8 laps
O 12 laps
O 15 laps
o 21 laps

Answers

Answer:

12 laps

Step-by-step explanation:

15÷4=3.75

45÷12=3.75

not sure whether it's true or not but at least I got the answer-

Answer : 12 laps

(4 laps) x 3 / (15 minutes)x 3
12 laps / 45 minutes

Find the perimeter. Simplify your answer.

Answers

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

10u - 16

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

Hope it Helps you!!

Fill in the missing information in the chart.

Answers

Answer:

Point Slope equations:  

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Slopes:  

3-95

Points on the line:

(5,6)(-8,4)(0,2)

Step-by-step explanation:

Basically we use this formula to solve each column [tex]y-y_{1} =m(x-x_{1})[/tex]

m = slope

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Please to this step by step with answer

Answers

first you would have to multiply 12 times 5 (60) then multiply 7 times 18 (126) you subtract both [ 126 - 60] = (66) that would be your final answer. They both need to have worked 66 minutes to have the same number of boxes.

Solving the quadratic equations using by completing the square. ​

Answers

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest

9.
Identify the maximum value of the function y = −4x^2 − 24x + −36.

A. 3

B. 0

C. −36

D. −4

Answers

Answer:

B. 0

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( − 3 , 0 )

solve for x

9 = x/12

Answers

Answer:

X=108

Step-by-step explanation:

Step-by-step explanation:

I have solved the answer in the attached image please ask if you have any query

PLEASE HELP WILL MARK BRAINLIEST
Find the average rate of change for the function f(x) = 3^x + 4
Using the intervals of x=2 to x=5
Show ALL your work to receive credit

Answers

Answer:

78

Step-by-step explanation:

You use the formula

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

with a=2 and b=5 plug it in to the formula

[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]

find the values

[tex]f(5) = {3}^{5} + 4 = 247 [/tex]

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]

Write in standard form 456 000

Answers

Answer: 4000,000 + 50,000 + 6,000  

Step-by-step explanation: just break apart the number and add

I WILL GIVE BRAINLIEST

Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

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