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
Dennis_Churaev [7]
3 years ago
13

Quadrilateral QRST is a square. If the measure of angle RQT is 5x – 10. Find the value of x.

Mathematics
2 answers:
pogonyaev3 years ago
6 0
In a square, all four angles are equal to each other (90 degrees) and add up to 360 degrees.

So we can write this equation and solve for x.

4(5x - 10) = 360
   20x - 40 = 360
          20x = 400
          /20      /20
              x = 20

Therefore x = 20.

Let's check by substituting x into the angle and seeing if it does add up to 90 degrees like it is supposed to because it is a square.

    5x - 10 = 90
5(20) - 10 = 90
  100 - 10 = 90
           90 = 90

It is true so x = 20.
adoni [48]3 years ago
4 0
Every interior angle of square is a right angle (90°)
<span>
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20</span>
You might be interested in
Help me answer this due today at 9:00!!!!
ratelena [41]

we conclude that the dimensions and area of the scaled figure are:

  • l₂ =  48 in
  • w₂= 32in
  • A₂ =  1,536 in^2

How to find the dimensions of the large rectangle?

First, we know that the large rectangle is the smaller rectangle rescaled, with a scale factor k = 4.

This means that each dimension of the smaller rectangle must be multiplied by 4 to get the correspondent dimension on the larger rectangle.

The dimensions of the smaller rectangle are:

l₁ = 12in

w₁ = 8in

Then the correspondent dimensions of the large rectangle are:

l₂ = 4*12in = 48 in

w₂= 4*8in = 32in

Now, the area of the large rectangle is given by the product between the two dimensions, we will get:

A₂ = 48in*32in = 1,536 in^2

Then, we conclude that the dimensions and area of the scaled figure are:

  • l₂ =  48 in
  • w₂= 32in
  • A₂ =  1,536 in^2

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

5 0
1 year ago
A mallard duck has 13 ducklings, five of the ducklings are male, what is the ratio of male to female ducklings ?
hodyreva [135]

Answer:

5:8 Ducklings

7 0
3 years ago
Read 2 more answers
70 POINTS!! AND BRAINLIEST HELPPPPP!!!
DerKrebs [107]

Answer:

  1. 3000 girls
  2. 38 fishes
  3. 37 points
  4. 115 marbles
  5. 19 gray coloured cars

Step-by-step explanation:

Let the unknown values be x

1.

30 class mates = 1 class room

18 girls in 1 classroom

18 girls in 30 classmates

x girls in 5000 class mates

18\:girls= 30\:students\\x\:girls = 5000\:students\\\\Cross\:Multiply\\\\30x = 90000\\\\Divide\:both\:sides\:by\:30\\\frac{30x}{30} = \frac{90000}{30}\\ \\x = 3000\\= 3000 girls

2.

2.5\:miles = 12 \:fishes\\8\:miles = x\:fishes\\\\Cross\:Multiply\\2.5x = 96\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2.5\\\\\frac{2.5x}{2.5}=\frac{96}{2.5}\\  \\x = 38.4\\Approximately \: =38\:fishes

3.

8\:minutes = 14\: points\\21 \:minutes = x \:points\\\\Cross\:Multiply\\8x = 294\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{294}{8}\\\\Simplify\\x=\frac{147}{4}\\\\x = 36.75\\\\Approximately\:= 37\:points

4.

32\:marbles = 5\:inches\\x\:marbles = 18\:inches\\\\Cross\:Multiply\\5x = 576\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{576}{5}\\\\x=\frac{576}{5}\\\\x =115.2\\= 115=\:marbles

5.

2 \: gray\:colour= 15\:cars\\x\:gray= 140\:cars\\\\Cross\:Multiply\\\\15x = 280\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{280}{15}\\\\Simplify\\x=\frac{56}{3}\\\\x =18.666\\Approximately ;\\19

6 0
3 years ago
Read 2 more answers
The difference of 9 and a number n
liubo4ka [24]
9-n would be the proper equation
4 0
3 years ago
Read 2 more answers
A box holds nine smaller boxes. Each of the smaller boxes holds nine plastic containers. Each of the plastic containers holds ni
Leto [7]
If i did the math correctly the answer is 59, 049 elastic bands
6 0
4 years ago
Read 2 more answers
Other questions:
  • As part of a science experiment, Giovanni measured the distance a caterpillar traveled over different time intervals. In the fir
    12·1 answer
  • Hello! I need help with number 2! Thanks
    5·2 answers
  • Función inversa f(x) = 7/x -9
    10·2 answers
  • Help me pleaseeeeeeeeeeeeeee
    11·2 answers
  • Which graph shows the solution to the inequality |x+3|&gt; or equal 2
    11·2 answers
  • 3x-9-2x+4. answer????
    9·1 answer
  • I need an answer to this question
    13·2 answers
  • Which line is the graph of y=1/2x+1?​
    9·1 answer
  • Please see picture of question.
    13·1 answer
  • Are these lines perpendicular?<br> X<br> yes<br> no
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!