1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
6

I do not get question 11 please help me!

Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.

The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.

Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.

m<PSR = m<PSQ + m<QSR = 30 + 60 = 90

m<PQS = 120

m<PSR : m<PQS = 90 : 120 = 3 : 4

No choice shows the correct answer.

You might be interested in
Darren is painting a wooden block as part of his art project The block is a rectangular prism that is 12cm long by 9 cm wide by
Ksenya-84 [330]

Answer:

<h3>The surface area in square meters that Darren has to paint is 426cm^2</h3><h3>∴ A=426cm^2</h3>

Step-by-step explanation:

Given that Darren is painting a wooden block is a rectangular prism

Its length is 12 cm ,width is 9 cm and height is 5 cm

<h3>To find the surface area in square meters that Darren has to paint :</h3>

Let l be the length, w be the width and h be the height

Then l=12 cm , w=9 cm and h=5 cm

The formula for the Surface area is

A=2(lw+wh+hl) square units

Substitute the values in formula we get,

A=2(12(9)+9(5)+5(12))

=2(108+45+60)

=2(213)

=426

<h3>∴ A=426cm^2</h3><h3>∴ the surface area in square meters that Darren has to paint is 426cm^2</h3>

5 0
3 years ago
The following table shows a proportional relationship between x and y.
RUDIKE [14]

Answer:

Assume x is directly proportional to y :

y \:  \alpha  \: x \\ y = kx

when y is 9, x is 2:

substitute to find value of k :

9 = (k \times 2) \\ k =  \frac{9}{2}

Therefore, equation is:

{ \boxed{ \boxed{2y = 9 x}}}

8 0
3 years ago
Two numbers have a difference of 0.7 and a sum of 1. What are the numbers?
daser333 [38]
The numbers are 0.85 and 0.15
5 0
3 years ago
Sam average 13 points per game in her first three basketball games. She averaged 14.5 points in her first four games. How many p
kvasek [131]

Answer:

19

Step-by-step explanation:

<em>1</em><em>3</em><em>×</em><em>3</em><em>=</em><em> </em><em>3</em><em>9</em>

<em>1</em><em>4</em><em>.</em><em>5</em><em>×</em><em>4</em><em>=</em><em> </em><em>5</em><em>8</em>

<em>5</em><em>8</em><em>-</em><em>3</em><em>9</em><em>=</em><em> </em><em>1</em><em>9</em>

5 0
3 years ago
A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
melomori [17]

Answer:

<h2>8.3 in²</h2>

Step-by-step explanation:

We have

three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>

one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>

The formula of an area of a triangle:

A=\dfrac{b\cdot h}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

Substitute:

A_1=\dfrac{(2)(2.2)}{2}=\dfrac{4.4}{2}=2.2\ in^2

A_2=\dfrac{(2)(1.7)}{2}=1.7\ in^2

S.A.=3A_1+A_2

S.A.=3(2.2)+1.7=6.6+1.7=8.3\ in^2

5 0
3 years ago
Other questions:
  • Write the word sentence as an equation. The product of a number m and 2 is 8.
    8·2 answers
  • Someone know how to do this?: 6x2+18x=0
    12·1 answer
  • Help me out please
    14·1 answer
  • Charlotte is running at a rate of 9 km/h What is Charlotte's speed in m/s
    5·1 answer
  • Elijah shares half of a package of clay equally among himself and 2 friends. What fraction of the whole package of clay will eac
    14·1 answer
  • there are a total of 18 frocks. if the ratio of purple frocks to white frocks is 2 to 4 , how many of them are white?
    8·1 answer
  • Last Saturday Allyson had $38. For her birthday she received more money. She now has $90. How much more money, m, did she receiv
    8·2 answers
  • Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all
    7·1 answer
  • Is 1% of 180 greater than or less than 2?
    9·1 answer
  • one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!