QS bisects <PQR. If m<PQS = 5x and m<RQS = 2x + 6, then what is m<PQR?​

Answers

Answer 1

Answer:

20 degrees

Step-by-step explanation:

If QS bisects Angle PQR, it would mean that Angle PQS and Angle RQS are equal

2x+6=5x

Subtract 2x on both sides

6=3x

Divide by 3 on both sides

x=2

Plug the value of x into either one of the angle measures equation

5x

5(2)=10

If they are equal to one another it would mean that the other angle would be the same measure and you would multiply it by 2

10(2)=20

Therefore 20 degrees is the answer for the measure of Angle PQR

Hope it helped :))


Related Questions

Will give brainliest!!!The measure of an exterior angle of a regular 20​-gon is?

Answers

[tex]\huge\sf{Answer :- }[/tex]

Given :-

Sides of the polygon = 20

To Find :-

Exterior angle of the polygon

Formula :-

Exterior angle of the polygon = ( 360/ n )°

where,

n = number of sides of the polygon ( 20 sides)

Solution :-

By substituting values according to the formula

➙ ( 360/ 20 )°

➥ 18°

Hence, The exterior angle of the polygon is 18°

Answer:

answer of this qn will 360÷20= 18degree

solve inequality for v​

Answers

Answer:

[tex]\displaystyle v > \frac{-28}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{-10}{7}v > 8[/tex]

Step 2: Solve for v

Divide both sides by [tex]\displaystyle \frac{-10}{7}[/tex]:                    [tex]\displaystyle v > \frac{-28}{5}[/tex]

Here we see that any value v greater than [tex]\displaystyle \frac{-28}{5}[/tex] would work as a solution to the inequality.

Multiply each term by
-7/10 and simplify.

Inequality Form:
v< −28/5

Interval Notation:
(∞, −28/5)

While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?

Answers

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

What is the y-intercept of the function nx) = x + 5
costs us when ons

Answers

cost us when ons? what does that means i’m having trouble identifying

HELP ME PLEASE I NEED HELP

Answers

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

If I got 562 on my 7th grade Math Diagnostic then what grade level am I?

Answers

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7

Answers

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answers

Answer:

length of arc=80/360×2πr

88×360=80×2×22/7×r

31680×7/(80×2×22)=r

r=221760/3520=63

diameter=2r=2×63=126

Please help desperate due today please help

Answers

Answer should be 26!

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Answers

Answer:

a) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex] are [tex]x_{1}\approx -0.25[/tex] and [tex]x_{2} \approx 1.25[/tex].

b) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex] are [tex]x_{1}\approx -0.5[/tex] and [tex]x_{2} \approx 1.5[/tex]

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial [tex]y = 4\cdot x^{2}-4\cdot x -1[/tex], where [tex]x[/tex] is related to the horizontal axis of the Cartesian plane, whereas [tex]y[/tex] is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.25[/tex], [tex]x_{2} \approx 1.25[/tex]

b) [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex]

Cos(A) = ?
13/5
12/5
12/13
5/13

Answers

Answer:

cosA = [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.

Answers

Answer:

55.53

Step-by-step explanation:

45.12

5.2%= 1.052

new price= original(1+5.2%)

x=45.12(1.052)

×=47.46624+17%

=55.53

g(t) = 2t - 2
h(t) = 2t - 5
Find g(t) + h(t)

Answers

Answer:

[tex]g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)[/tex]

(4t-7) is the right answer.

Step-by-step explanation:

g(t) = 2t - 2

h(t) = 2t - 5

g(t) + h(t)

(2t - 2) + (2t - 5)

2t - 2 + 2t - 5

(4t - 7) ✓✓✓✓

I need the angle of elevation

Answers

Answer:

multiply and see what you get

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

Determine the value of x.

Answers

Answer:

The value of x is 14.75(2)

Step-by-step explanation:

If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

x = 14.75

Plzzzzzz help
Graph y-2= 2/3(x+4)

Answers

Answer:   y=  2/3x  +  14/3

Step-by-step explanation:

What is the answer? Please

Answers

Answer:

i would say the 3rd one

Step-by-step explanation:

Given three points, it is possible to draw a circle that passes through all three. The perpendicular bisectors of a chords always passes through the center of the circle. By this method we find the center and can then draw the circle. This is virtually the same as constructing the circumcircle a triangle.

$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?

Answers

Answer:

$60

Step-by-step explanation:

one of them got $40 and the other one $20

Find the slope on the graph

Answers

Answer:

im pretty sure it would be 5/3

Step-by-step explanation:

u go up 5 squares and then over 3

Answer:

[tex]\frac53[/tex]

Step-by-step explanation:

Hello!

Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].

Rise is the change in y between two pointsRun is the change in x between two points

The two points I'm going to pick are (0,-1) and (3,4).

Now let's find the changes in x and y.

Change in y (-1 and 4) is 5Change in x (0 and 3) is 3

Plugging it into the formula, you get a slope of [tex]\frac53[/tex].

Can anyone help with these maths questions about transformations please?

Answers

A. Reflection over y = 2

B. Reflection over y axis, reflection over y = 1

C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor

Find the value of x


BRAINLEST I SWEAR TO GOD


What is the root ?!

Answers

9514 1404 393

Answer:

  x = √70

Step-by-step explanation:

The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...

  x/(7+3) = 7/x

  x^2 = 7(10) = 70

  x = √70

_____

Additional comments

This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.

The same relation holds for BC:

  BC = √(CD·CA)

__

A slightly different geometric mean relation holds for the altitude BD:

  BD = √(DC·DA)

Find the highest common factor of 55 and 605

Answers

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

If C is the midpoint of AB, find the value of x.

Answers

Answer:

5x+6= 10x-8

14= 5x

x= 2.8

Step-by-step explanation:

question:
solve the first equation for Y
2x+y=5
2y=2x-8

answer choices:
a) y=-2x+5
b) y=2x+5
c) y=2x-5
d) y=x-4
e) y=2x-8
(i dont understand it help)

Answers

Answer:

(c) y = 2x - 5

Step-by-step explanation:

y=2x+y=5

subtract 2x from both sides of the equation

the answer is C

Ebuka's monthly rent is \$750$750dollar sign, 750. If Ebuka pays the rent late, his landlord charges 4\%4%4, percent interest per week that the payment is late.

Answers

Answer: R(t) = 750 + 0.04t

Step-by-step explanation:

Here's the complete question:

Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.

The above question will be represented by:

R(t) = $750 + (4% × t)

R(t) = 750 + (4/100 × t)

R(t) = 750 + 0.04t

Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.

Answers

yes correct
0.04
step by step explanation:
i’m here for the points sorry

These dot plots show lengths (in feet) from a sample of crocodiles and alligators.


Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
statement is true?

A. Alligators have a smaller IQR because there were some very long
alligators (high outliers).

B. Crocodiles have a greater IQR because most of the crocodiles
were about the same length.

C. Alligators have a smaller IQR because there were some very short
alligators (low outliers).

D. Alligators have a greater IQR because there were some very long
alligators (high outliers).

Answers

Alligators have a greater IQR because there were some very long alligators (high outliers)

D: Alligators have a greater IQR because there were some very long alligators (high outliers)

How to find outliers and the interquartile range?

Use the interquartile rule to find outliers and calculate the interquartile range of data.

Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.

Subtract 1.5x (IQR) from the first interquartile range.

If you subtract 1.5xIQR from the first quartile, data values ​​smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values ​​larger than this number are considered outliers.

Learn more about outliers and the interquartile here:https://brainly.com/question/17083142

#SPJ2

50 points! Will mark brainliest! Pic is attached below :)

Answers

Answer:

you have nothing attached

Answer:

Perpendicular

Step-by-step explanation:

I calculated and its correct from p

If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC ​

Answers

Answer:

Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].

Side c:

If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]

Finding the angles:

In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.
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