Answers
Answer:
Yes it is an isosceles triangle
Step-by-step explanation:
We just need to see if the distance between two points is the same as the distance with two others
Distance between AB = (4 -(-1))² + (7 - 2)² = c²
5² + 5² = c²
25 + 25 = c²
c = √50
Distance between AC = (11-(-1))² + (8 - 2)² = c²
12² + 6² = c²
144 + 36 = c²
180 = c²
c = √180
Distance between CB = (11-4)² + (8 - 7)² = c²
7² + 1² = c²
49 + 1 = c²
50 = c²
c = √50
Hence, this is an isosceles triangle because AB and CB are congruent in length.
-Chetan K
We need to verify if any of two sides are equal then it is an isosceles triangle.
Refer to the attachment now
Related Questions
What is the measure of angle xyz
Answers
Answer:
Step-by-step explanation:
LET:
∠XYW=Y
X,Y and W are the angles of triangle so:
X + Y + W=180
3x+11+Y+5x+1=180
Y=180-12-8x
Y=168-8x
Now ∠XYW and ∠XYZ are the angles of a straight line:
∠XYW+∠XYZ=180
168-8x+12x-20=180
4x+148=180
4x=180-148
4x=32
x=32/4
x=8
Now substitute value of x in Y:
∠(12x-20)=12(8)-20
∠Y=76
The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=
Answers
The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
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1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answers
Answer:
B
Step-by-step explanation:
5m+5m8m+4m=24m2 of the primeter
If x=5 and y=3 find the value of x+2y
Answers
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
What is the approximate discount on the calculator?
20%
25%
30%
35%
Answers
The approximate percentage discount is equal to 25%.
Given the following data:
Sales price = $68.25.Original price = 89.99To calculate the approximate discount on the calculator:
First of all, we would determine the discount on the calculator by using the following mathematical expression:
[tex]Discount = Original\;price -Sales\;price[/tex]
[tex]Discount = 89.99 -68.25[/tex]
Discount = $21.74
Now, we can calculate the approximate percentage discount:
[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]
Percent discount = 25%
Read more: https://brainly.com/question/16068904
The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population
Answers
Answer:
The shape of the pyramid does not provide information on population growth
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b
Answers
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
What is the answer to 3) 1 + 4x = −5 + 7x
Answers
Answer:
x = 2
Step-by-step explanation:
You subtract the one and carry it over to negative five which makes it negative 6 and it should be
4x = -6+ 7x
Subtract the 7x and carry it over to the 4x
And you should have
-3x=-6
And you divide by the negative 3 and since dividing a negative and negative gets a positive you should get this as your answer
X=2
The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?
Answers
Answer:
648
Step-by-step explanation:
2=2
Which of the following is the additive inverse of 4/31 ?
A. 4/31
B. - 4/31
C. 31/4
D. - 31/4
( Thanks In Advance )
Answers
Answer:
c 31b4
Step-by-step explanation:
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answers
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]
Can someone pls help me
Solve for x
Please show ur work
Answers
Answer:
9=x
Step-by-step explanation:
80º=(8x+8)º
80=8x+8
Subtract 8 from both sides of the equation.
72=8x
Divide 8 from both sides of the equation.
9=x
Hope this helps :)
the quotient of a number and 12 - 3 is -4
Answers
Answer:
-36
Step-by-step explanation:
12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:
x ÷ 9 = -4
So, if we multiply both sides by 9, we get:
x = 9 * -4 which is -36.
Please help I don’t understand this
Answers
Answer:
The area is 24
Step-by-step explanation:
Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).
Then find the area of each triangle and add it all together
Area of Triangle= (base x height)/2
(3 x 3)/2 + (3 x 3)/2 + (5 x 3)/2 + (5 x 3)/2
this equation gives us 24 as the area
A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answers
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer
Answers
Step-by-step explanation:
there are 35 in total.
4 go into one box.
so, how many in 8 boxes ?
well, 4×8 = 32
what is the difference between 32 and 35 ?
35 - 32 = 3
so, 3 models are still left.
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answers
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
if angle a = x+33 and angle d = 2x what is angle a
Answers
The answer must be standard
Find the perimeter of the rectangle
Answers
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed
Answers
Answer:
It's probably 1/4
Step-by-step explanation:
Translate sum of 4 and the quotient of n and 9
Answers
Step-by-step explanation:
The quotient of n and 9:
n / 9Sum of 4 and the quotient:
4 + (n/9)Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answers
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
To learn more on angle click:
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What is a derivative.
Answers
solve pls brainliest
Answers
Answer:
C.
Step-by-step explanation:
It multiplies by 2
Hope I could help!
3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answers
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
help me!!! Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.
Answers
Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)
Answers
Answer:
c.
Step-by-step explanation:
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
Answers
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661
m = – 3; (2, 2) help pls
Answers
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answers
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.