15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.
Equation: _____
X = _____
BC = _____
Answers
Answer:
equation : 2x + 4 = 3x - 5
X = 9
BC = 22
The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
What is a square? What is a mathematical equation? What do you mean by domain and range of a function?In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Area: (side)²Perimeter: 4 x sideNumber of vertices: 4Number of edges: 4Internal angle: 90°Properties: Convex polygon, Equilateral polygon, Isogonal figure, Isotoxal figure, CyclicType: Quadrilateral, Regular polygonA mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is square ABCD and AB = 2x + 4 and CD = 3x - 5
Now -
AB = CD
Equation will be -
2x + 4 = 3x - 5
4 + 5 = 3x - 2x
x = 9
and
AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22
BC = 22
Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
To solve more questions on square, visit the link below -
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Related Questions
ABC is a triangle.
B
х
5.6 cm
9.3 cm
50°
Α'
78°
D
С
Work out angle x.
Give your answer correct to 3 significant figures.
Answers
Answer: 50.5
Step-by-step explanation:
If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3
The value of the angle,x=50.531°. The angle is obtained by the sin law.
What is the triangle?A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
From the sin rule;
[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]
For the same angles;
[tex]\rm \angle ACB=\angle BCD[/tex]
From the exterior angle theorm ;
[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]
∠CBD=x
∠ABD=78°
Putting the obtained values;
27.469°+x=78°
x=78°-27.469°
x=50.531°
Hence,the value of the angle,x=50.531°.
To learn more about triangle refer;
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☆pls help no one has helped me and I'm so confused!
Answers
Answer:
Step-by-step explanation:
a). [tex]\frac{5\pm\sqrt{-4}}{3}[/tex] = [tex]\frac{5}{3}\pm \frac{\sqrt{-4}}{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2i}{3}[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
b). [tex]\frac{10\pm\sqrt{-16}}{2}[/tex] = [tex]\frac{10}{2}\pm \frac{\sqrt{-16}}{2}[/tex]
= [tex]5\pm \frac{4\sqrt{-1}}{2}[/tex]
= 5 ± 2i [Since, i = [tex]\sqrt{(-1)}[/tex]]
c). [tex]\frac{-3\pm \sqrt{-144}}{6}[/tex] = [tex]-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}[/tex]
= [tex]-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}[/tex]
= [tex]-\frac{1}{2}\pm 2\sqrt{-1}[/tex]
= [tex]-\frac{1}{2}\pm 2i[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
please help me please will give brainliest to anyone who is good
Answers
Answer:
C
Step-by-step explanation:
N = st
Number of toothpicks = (number of students) x (toothpicks)
D.
Step by step explanationMark: 1.00
The volume of a cuboid is 140 cm
The area of its base is 88 cm2. Then
its height is
5cm
6 cm
8 cm
7 cm
Answers
Volume of cuboid =l×b×h
area of base of the cuboid =l×b
hence
volume of cuboid is = area of base × height
140=88×h
h=140÷88
h=5
The graph of an equation drawn through which two points would best represent the
relationship between the number of miles and the cost of the trip?
Plis helppp
Answers
Answer:
The answer is A
Explanation:
I just took this quiz.
What is the vertex of the function f(x) = 2+3x+ 3/2
Answers
Answer:
0=2+3x+3/2
0=7/2+3x
-3x=7/2
divide by -3 on both sides
x=-7/6
hope this helps
Step-by-step explanation:
What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38
Answers
Answer:
[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]
on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?
Answers
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
hi can you guys help with this ? thx
Answers
Answer:
a) 13%
b) 45%
c) 16%
Step-by-step explanation:
To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31, therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.
Just repeat the same steps for the remaning questions.
Each box is 20 inches long, 30 inches wide, and 20 1/2 inches in hieght.
What is the volume of the box?
Answers
Answer:
Volume = 12,300
Step-by-step explanation:
20 x 30 = 600
600 x 20.5 =12300
Answer:
Volume of the box is length ×breadth×height
[tex]20 \times 30 \times 20 \frac{1}{2} \\ = 600 \times \frac{41}{2} \\ = 12300[/tex]
12300 inches cube is the right answer.what's 5x5800000000000000000000000000 help
Answers
Step-by-step explanation:
so why you are asking?????
What is –2 5/12 written as a decimal?
Answers
Put these expressions in order of size, from smallest to larg-
est, when a = 3 and b = 5.
46
3
2a + 3b
Answers
Answer:
that hiw you do it .hope it helps
ask me if you don't understand something
Step-by-step explanation:
thankyou...
Write an equation in slope-intercept form for the line passing through the pair of points.
(-2,-2). (-3,5)
Answers
Answer:
y=-7x-16
Step-by-step explanation:
Which inequality is represented by the graph?
t > -2
t < -2
t ≤ -2
t ≥ -2
Answers
Answer:
t > -2
Step-by-step explanation:
Since the graph is not continuous at -2, thus it is not included!
simplify 1/2 (4x+2) - (-2x)
Answers
Answer:
4x + 1 is the simplified expression
Step-by-step explanation:
We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.
The first step involves mulitplication and distribution property:
1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)
2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).
Bow the expression is almost simplified as it is:
2x + 1 -(-2x)
The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:
3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.
4) Now we know that -(-2x) is the same as: + 2x.
5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.
Hope you understood this and have a nice day!
Terry drove 228 miles in 6 hours at a constant speed. How long would it take him to drive 285 miles at the same speed?
Answers
Answer:
7.5 hours
228 ÷ 6
38 × 7.5 = 285
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answers
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
If the population in Charleston, SC grew exponentially from 90,620 people in 1990 to 120,083 people in 2010. Write a function to model Charleston's population from 1990 to 2010 assuming the population grew at a constant growth rate during that time period where P (population) is a function of time, t, (where t represents t).
What is the rate?
Answers
this table represents a function. plot points to represent the function as a graph. x. -4 , -1, 0, 2. y. 9, 3, 1, -3
Answers
Answer:
-4,9
Step-by-step explanation:
(its kind of confusing but i will try my best to help) i get that anwser from the x cordinate -4 and y coordinate 9
I need help! I will mark brainliest if correct, am I correct
Answers
Answer:
i think you are correct.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
What is the approximate average rate of change for f(x) = 20(0.5) from
x = 2 to x = 2?
Answers
Answer:
It is: (f(2) - f(0))/(2 - 0)
f(2) = 250(0.5)(2) = 250
f(0) = 250 (0.5)(0) = 0
So: (250 - 0)/(2 - 0) = 250/2 = 175
The average rate of change is 175.
Step-by-step explanation:
Mom buys a rectangular rug with an area of LaTeX: 7\frac{1}{6}7 1 6 square meters. The length of the rug is LaTeX: 3\frac{1}{3}3 1 3 meters. What is the width of the rug?
Answers
Answer:
2 3/20 metres
Step-by-step explanation:
Area of the rug = Length × width
Given
Area = 7 1/6 metres = 43/6 m
Length = 3 1/3 metres = 10/3 m
Required
Width
From the formula
A = LW
W = A/L
Substitute the given values
W = 43/6÷10/3
W = 43/6×3/10
W = 43/2 ×1/10
W = 43/20
W = 2 3/20 m
Hence the width of the rug is 2 3/20 metres
Answer:
32
Step-by-step explanation:
7 x 6 is 32 so u get that
What are the Slope and y- Intercept of the graph y= -4x - 5
Answers
Answer:
slope: -4, y intercept: (0, -5)
Step-by-step explanation:
please help me i need help quick plz
Answers
Answer:
Step-by-step explanation:
L is 11
H is 48
Q2 = (32 + 33) / 2 = 32.5
Q1 is 23
Q3 is 46
2) The distribution is skewed right
hope this helps :)
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answers
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
Find the intercept
5x+3y=15
X-intercept:
Y-intercept:
Answers
Answer:
X: x=3-3/5y
Y: y=5-5/3x
Step-by-step explanation:
For X:
-3y on both sides will result in:
5x=15-3y
5x/5=15/5-3y/5 (divide 5 on both sides)
x=3-3/5y
For Y:
-5x on both sides will result in:
3y=15/3-5x/3 (divide 3 on both sides)
y=5-5/3x
please mark brainliest
Simplify: 4(x+10) -30 + 6x
Answers
Answer:
10x+10
Step-by-step explanation:
distrubute 4(x+10)-30+6
subctract 4x+40-30+6
combine 10x+10
if 3x - 6.59 = 11.41 what is the value of x
Answers
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!
Answer:
I have the same question,
Step-by-step explanation:
14/25/7/60 + 6/5 =
Please help me
Fast!
Answers
Answer:
It's 6 in scientific calculator
Step-by-step explanation:
Hope it helps bye have a good day!
Answer: 1.20133333333 repeatedly