Question 21 of 25
In AQRS, m2 Q = 63º, m2 R = 70°, and m2 S= 47° Which side of AQRS is the
shortest?
O A. QR
O B. Cannot be determined
O C. RS
O D. QS
w
SUBMIT

Answers

Answer 1

Answer:

I think its QR

Step-by-step explanation:

Sorry if im wrong

Answer 2

The side QR is the shortest side.

Option A is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the fact that in a triangle, the side opposite the smallest angle is the shortest side.

So we need to determine which angle is the smallest.

Now,

In ΔQRS,

m∠Q = 63º, m∠R = 70°, and m∠S= 47°

Now,

m∠S= 47° is the smallest.

So,

QR is the side opposite to m∠S.

Thus,

QR is the shortest side.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7


Related Questions

An architect draws a blueprint of a house using the scale 1 inch equals 6 feet. If the kitchen measures 19 12 feet by 22 12 feet, what are the dimensions of the kitchen on the blueprint?

Answers

Answer:

3.33in x3.83in

Step-by-step explanation:

Hello there pm34080075, I'm going to assume you are referring to a 19 ft 12in by 22ft 12in. If this is incorrect I will write out the steps so it should be an easy fix. The simplest thing we can do is convert all of our units to inches and then set up a ratio to find the dimensions on the blueprint.

With what we are given it should turn out to be roughly:

19ft 12in= 240in

22ft 12in= 276in

From this we can set up the simple ratio of [tex]\frac{1inch}{72in}[/tex] to find out the appropriate values This can be done by solving for x in:

[tex]\frac{1 inch}{72in}[/tex]  x  [tex]\frac{x}{240in}[/tex]

and

[tex]\frac{1 inch}{72in}[/tex]  x  [tex]\frac{x}{276in}[/tex]

After this is done we find that the dimensions on the blueprint will come out to 3.33in x3.83in

Hope this helps!

-HM

5z-8-4z-3z+6
What is the simplified form of their expression?

Answers

Step-by-step explanation:

=5z-8-4z-3z+6

=5z-4z-3z-8+6

= -2z-2

hope it help u

• What is the total number of pencils that Mr. Moretti gives to his students
if he puts 3 mechanical pencils in each bag?

Answers

Answer:162

Step-by-step explanation:

162

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:

Answers

Answer:

The tortoise can walk 0.25 feet per second.

Step-by-step explanation:

Convert inches to feet

Answer:

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

To answer the question, you need to write a conversion factor to convert  

inches to feet

The correct conversion factor has the inches in the  

denominator

The correct conversion factor has the feet in the  

numerator

.

The tortoise can walk  

0.25

feet per second.

by-step explanation:

hope this helps :)

Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

Answers

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

(2, 4) and (5, 1)

[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]

The slope is negative.

(3,5) and (-1,2)

[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]

The slope is positive

(-7, 8) and (-7,0)

[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]

division by zero makes the slope undefined.

(6.-3) and (4, -3)

[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Answer:b

Step-by-step explanation:

A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles

Answers

If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.

A number N divided by -9 is -16

Answers

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters. A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31. Which statement is true about the box plots? Select three options.

Answers

Answer: B,D,E

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

:)

In the figure, what is the value of X?

Answers

Answer: I think it's 12

the audience thinks 30% of Brandon's jokes are funny. what fraction of brandons jokes does the audience think are funny??​

Answers

Answer: 3/10

Step-by-step explanation:first conversation percent to fraction 30/100 then reduce by taking out ten and you get 3/10

what is the coefficiant of (x^4)( y^3) iterm in the expansion of (x-2y)^7

Answers

Answer:

The coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

[tex](x - 2y)^{7}[/tex] = 1. [tex]x^{7}[/tex] + 7.[tex]x^{6}[/tex](-2y) + 21.[tex]x^{5}[/tex][tex](-2y)^{2}[/tex] + 35.[tex]x^{4}[/tex][tex](-2y)^{3}[/tex] + 35.[tex]x^{3}[/tex][tex](-2y)^{4}[/tex] + 21.[tex]x^{2}[/tex][tex](-2y)^{5}[/tex] + 7.x[tex](-2y)^{6}[/tex] + [tex](-2y)^{7}[/tex]

        = [tex]x^{7}[/tex] -14[tex]x^{6}[/tex]y +84[tex]x^{5}[/tex][tex]y^{2}[/tex] -280[tex]x^{4}[/tex][tex]y^{3}[/tex] + 560[tex]x^{3}[/tex][tex]y^{4}[/tex] - 672[tex]x^{2}[/tex][tex]y^{5}[/tex] + + 448x[tex]y^{6}[/tex] - 128[tex]y^{7}[/tex]

Therefore, the coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280

What is the range of f(x) = -2x + 5 with domain {1, 2, 3, 4}?
O A. {3, 1, -1, -3}
O
B. {7, 9, 11, 13}
O C. {1, 2, 3, 4}
O D. {-7.-9, -11, -13}

Answers

Step-by-step explanation:

A IS THEM ANSWER

HELPO aSaPpp!!! thank you!!!

Answers

Answer: $7328.42

You could say "7328 dollars and 42 cents", but the shorter format is preferred in my opinion.

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

Work Shown:

A = P*e^(r*t)

A = 6000*e^(0.04*5)

A = 7328.41654896153

A = 7328.42

The symbol 'e' is a special number in math similar to how pi = 3.14 is another important symbol. If your calculator doesn't have a button labeled 'e', then replace 'e' with 2.718 to use its approximation.

Which is the equation of a line that has a slope of 1/2 and passes through poúru (2,-3)?
o y = 1/2X-4
o y = 1/2 X-2
o y = 1/2 x + 2
o y= 1/2 x+3

Answers

To find the b, or y intercept, insert the point you are given into the equation

y=1/2x+b

-3=1/2(2)+b
-3=1+b
-1 -1
———-
-4=b

Insert this value for b into the equation

y=1/2x-4
This is the first answer you typed

Hope this helps!!

Answer:the answer is A

Step-by-step explanation:y=1/2x-4 is the answer I know this because I just took the test

i don't know the answer ​

Answers

Answer:

The answer is C.

Step-by-step explanation:

QRS = _____
By _____

Answers

Answer:

the one you have circled is correct

Step-by-step explanation:

Answer:

The fourth answer selection is the correct

Step-by-step explanation:

Yes, the two triangles have to sides and the angle in between congruent, so by the SAS theorem, they are congruent.

Therefore select the fourth option that gives the order of vertices of the second triangle similar to the order of vertices in the first one :

Triangle YXW  by SAS.

Notice that side YX is congruent to side QR,

and side RS is congruent to side SW.

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.

Answers

Answer:

x = 45

y = 60

z = 75

Step-by-step explanation:

We can create three different equations with the given variables:

x + y + z = 180

y + z = 3 x

z = y + 15

then we can use this last equation to substitute for 'z" in the second equation:

y + z = 3x

y + y + 15 = 3 x

2 y + 15 = 3 x

x = 2/3 y + 5

Then we can re-write the first equation in terms of y and solve for this unknown:

2/3 y + 5 + y + y + 15 = 180

2/3 y + 2 y = 160

8/3 y = 160

y = 3 * 160 /8

y = 60

Then   x = 2/3 (60) + 5 = 45

so x = 45

and finally:   z = 60 + 15 = 75

so  z = 75


In the diagram above, 24 = 240°.
Find the measure of Z3.
23 = [ ? 1°

Answers

Answer:

∠3 = 140

Step-by-step explanation:

∠4 + ∠3 = 180

40 + ∠3 = 180

∠3 = 180 - 40

∠3 = 140

A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet up in the air. Noemi’s team is working together to write the quadratic equation to model the path of the golf ball in graphing form. She calculated the value of a = - 1/90 . Is she correct?

Answers

Answer:

No she isn't. The value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

[tex]y=ax^{2}+bx+c[/tex] (I)

Where [tex]a,b[/tex] and [tex]c[/tex] are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : [tex](0,0) ; (60,80)[/tex] and [tex](120,0)[/tex]

[tex](0,0)[/tex] because we put our coordinates origin there.

[tex](120,0)[/tex] because that's where the golf hole is.

And [tex](60,80)[/tex] because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of [tex]a,b[/tex] and [tex]c[/tex] ⇒

The parabola passes through [tex](0,0)[/tex] ⇒

[tex]y=ax^{2}+bx+c[/tex] ⇒

[tex]0=a(0)^{2}+b(0)+c[/tex] ⇒ [tex]c=0[/tex]

The parabola passes through [tex](60,80)[/tex] ⇒

[tex]80=a(60)^{2}+b(60)[/tex] ⇒

[tex]80=3600a+60b[/tex] (II)

The parabola passes through [tex](120,0)[/tex] ⇒

[tex]0=a(120)^{2}+b(120)[/tex] ⇒

[tex]0=14400a+120b[/tex]

[tex]120b=-14400a[/tex]

[tex]b=-120a[/tex] (III)

Now if we use (III) in (II) ⇒

[tex]80=3600a+60(-120a)[/tex]

[tex]80=3600a-7200a[/tex]

[tex]3600a=-80[/tex]

[tex]a=-\frac{1}{45}[/tex]    ⇒ [tex]b=\frac{8}{3}[/tex]

Finally the equation of the parabola is

[tex]y=-\frac{x^{2}}{45}+\frac{8}{3}x[/tex]

Where the value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]

70 POINTS
Select the correct answer.
Here are four decimal numbers:

0.39, 0.85, 0.731, 0.773

Choose the list that shows the numbers in order from smallest to largest.

A.
0.773, 0.39, 0.85, 0.731
B.
0.773, 0.85, 0.39, 0.731
C.
0.39, 0.731, 0.773, 0.85
D.
0.85, 0.773, 0.731, 0.39

Answers

Answer: A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

PLZZZZZZ HELP!!!!!!!!!!!

Answers

Answer:

greater number is 8 lesser number is 3

greater number 8 and least is 3

How many distinct permutations can be formed using the letters of the word ​"PAPER​"?

Answers

Answer:

2 i think

Step-by-step explanation:

The area of a trapezoid is 864 cm. It has a height of 24 cm, and the length
of one of its bases is 30 cm. What is the length of the other base?

Answers

Answer:=42 cm

Step-by-step explanation:

Strap=(a+b)*h/2    ( where a and b are trapezoid' s  bases and h is a height)

So   864=(30+b)*24/2

30+b=864*2/24

30+b=864/12

30+b=72

b=72-30

b=42 cm

A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at this pace, how long will it to finish?​

Answers

Answer:

Step-by-step explanation:

20 Min=30% complete

40 min=60% complete

60 min (1 hr)= 90% complete

67 min=100% complete

Willam has 24 cans of fruit and 60 cans of vegetables that he will put in bags for a food drive he wants each bag to be the same

Answers

If you add together the fruit cans and the vegetable cans, you will get 84 cans in total. Divide 84 and 2.

If William only has two bags, then he can put 42 cans in each bag to make them equal.

And if the assignment that you're working on mentions more bags than two, just work your way down the line with division.

If 270 students bought a cheese pizza or a pepperoni pizza, how many lunches were sold on Friday?

Answers

Answer:

270

Step-by-step explanation:

they all bought pizza but you dont know what flavor they pick

Answer:

270?

Step-by-step explanation:

help please due at 11:00 PM please help

Answers

I have no idea but I need points :(

Answer:

60

Step-by-step explanation:

Using Unitary Method

first pay 100 = second pay 60

first pay ( 100 / 60 ) = second pay 1

first pay ( 100 / 60 ) * 36 = second pay 36

first pay 60 = second pay 36

[ Note : ( 100 / 60 ) * 36 = 60 ]

The number of kids in a school decreased by 20% between last year and this year. Last year there were 80 kids in the school. What is the population this year? If you get stuck, consider making a table.

Answers

Answer:

64

Step-by-step explanation:

Multipy 80 by 80% or 0.80 to find the new population of 20% less

Solve: 6n + 5 < 11
Wich graph shows the solution?

Answers

Answer:

n<1

first graph

Step-by-step explanation:

subtract 5 from both sides

6n<6

divide by 6

n<1

please mark brainliest if correct

2х + Зу = 3 y = 8 – 3х​

Answers

Answer: Point form: ( 3 , -1 )

              Equation form: X= 3 and Y= -1

Step-by-step explanation:

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