these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:40 miles
Step-by-step explanation:
5*4=20
20*2=40
Answer:
40 miles
Step by Step Explanation:
Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)
In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????
a=9
b=12
What is the length of c?
Answer:
c = 15
Step-by-step explanation:
a^2 + b^2 = c^2
This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).
Given a and b we are able to solve for c
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Square root both sides to cancel the square
c = 15
Answer:
15
Step-by-step explanation:
Use this equation
a^2+b^2=c^2
so,
9 squared is 81 and 12 squared is 144.
81+144=225
The square root of 225 is 15.
Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22
Answer:
22
Step-by-step explanation:
Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.
Hope This Helps!
Pls help question is in the pic. Please give a right answer thx :D
Answer:
61.2
Step-by-step explanation:
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
Solve.
3(x-4) = -3
How do i slove this
Answer:
[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]
Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.
Answer:
You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.
Step-by-step explanation:
3(x)=3x
3(-4)=-12
3x+-12=-3
then evaluate using inverse operations to get x=3
9) Draw a graph of the linear equation y= -2/-5x +3
A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months
Answer:
17.7 meters
Step-by-step explanation:
x = 30
15 + 0.09*30
0.09*30 = 2.7
2.7 + 15 = 17.7 meters
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
Seth is trying to pay off his credit card. He plans to pay it off in 24 months. Interest on the card is compounded monthly at a fixed annual rate of 11.6%. Seth currently has a balance of $18,875 on his credit card. Use the formula for the sum of a finite geometric series to determine Seth’s approximate monthly payment.
A.
Seth’s approximate monthly payment will be $753.97.
B.
Seth’s approximate monthly payment will be $834.75.
C.
Seth’s approximate monthly payment will be $884.99.
D.
Seth’s approximate monthly payment will be $868.35.
Answer:
$884.99
Step-by-step explanation:
Just took the quiz and this was the right answer. :)
Answer:
884.99
Step-by-step explanation:
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
learn more about congruency here :
https://brainly.com/question/7888063
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Solve for h(x)=x(x+3)(x-2)
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
In rhombus JKLM, if m
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years
Answer:
2,391 paid altogether. The interest Rate was another 391 dollars.
Step-by-step explanation:
Solve for x
I
(2x +1)° (5x +50°
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
convert 8/3 to a mixed number
============================================
Work Shown:
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
The whole part is 2. The fractional part is 2/3.
-----------
Another way you could do the problem is to use long division as shown in the diagram below.
The result of the long division is
8/3 = 2 remainder 2
The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.
So that's another way to get 2 & 2/3
How do you make comparisons between an equation and a graph?
Answer:
here is a hint
Step-by-step explanation:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
For linear equation,
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)
Answer:
2x-6
Step-by-step explanation:
The first step is to distribute
The second step is to combine like terms and since its an expression you will not have a solution
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
Please help asap!! Pretty simple if you understand I guess lol
Answer:
Step-by-step explanation:
the answer is 52
Answer:
angle z = 52
Step-by-step explanation:
solve for t
t+58=2t-12
t+70=2t
70=t
plug in the value of t in t+58
(70)+58
=128
note that angle y and z make supplementary angles, so
180-128
=52
Please Help!
Subtract.
(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)
Answer:
Heya!!
here's your answer
3x^4 − 3x^3 − 3x^2 + 5x −1
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation: