These triangles
are congruent by
the triangle
congruence
postulate [? ]
The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
These triangles are congruent.
Now, In both triangle shown in figure have;
⇒ One side is common. (Diagonal)
⇒ Two sides are equal. (Given)
⇒ One pair of angle in both triangle are equal.
Hence, We get;
⇒ By SAS congruent theorem both triangles shown in figure are congruent.
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Is 4(7-1) and 28-1 equal?
Answer:
fasdfjahlskfhkajshf
Step-by-step explanation:
jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh
∑⊥⇆Ф↑↓∩¬║⊅α∨∧
(testing answer, sorry for that)
simply the ratio of 650ml to 2litre
Answer:
13: 40
Step-by-step explanation:
as 650 ml is given
so 2l = 2000 ml
ratio = 650 / 2000
13/40
13:40
the volume of sphere is increaseing
at the Constant rate of 10cm²lsee-
Calculate the rate of increase of
the surface area
at the Instant
When the radus is 5cm. What
is the radius of the sphere when
the surface are is increasing at 2cm
Volume of a sphere:
V = 4/3 π r ³
Differentiate V with respect to time t :
dV/dt = 4π r ² dr/dt
Surface area of a sphere:
A = 4π r ²
Differentiate A with respect to t :
dA/dt = 8π r dr/dt
You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so
10 cm³/s = 4π r ² dr/dt
Solve for dr/dt (the rate of change of the sphere's radius):
dr/dt = 5/(2π r ²) cm³/s
Substitute this into the equation for dA/dt :
dA/dt = 8π r (5/(2π r ²) cm³/s)
dA/dt = 20/r cm³/s
At the moment the radius is r = 5 cm, the surface area is increasing at a rate of
dA/dt = 20/(5 cm) cm³/s = 4 cm²/s
When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that
2 cm²/s = 20/r cm³/s
which happens when the radius is
r = 20/2 (cm³/s) / (cm²/s) = 10 cm
Find the slope of the line through the pair of points. C(–6, –7), K(–1, –7) undefined 0
Answer:
0
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]
Answer:
It is Undefined so its 0
The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
A.) What was the initial mass (in mg) of the sample?
B.) What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places.
9514 1404 393
Answer:
A) 448 mg
B) 3.5 mg
Step-by-step explanation:
24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.
A) The initial mass is 2^6×(7 mg) = 448 mg
__
B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.
(7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks
work out m and c for the line y= x+4
Answer:
M = 1, C = 4
Step-by-step explanation:
Just take note that all linear equation have the form Y = Mx + C.
Here you can read directly from the equation given.
Help Please I don’t understand
Answer:
128.10
Step-by-step explanation:
(8 * 16.95) - 7.50
(135.6) - 7.50
128.10
Which expression is equal to 48 + 72?
A
24(2 + 3)
B
8(6 + 12)
с
3(14 + 24)
D
2(24 + 38)
Answer:
A
Step-by-step explanation:
I did the math and i have no doubt
Find the volume of the figure below. Round to the nearest tenth it needed. Please help
Answer:
1,060.8 mm³
Step-by-step explanation:
Volume of the triangular prism = ½*bhl
Where,
b = 12 mm
h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)
l = 17 mm
Plug in the values
Volume = ½*12*10.4*17
Volume = 1,060.8 mm³
Help me please I give brainliest and be serious
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
easy 5th grade math please look at photo and show work. Giving brainliest!!
Answer:
6 4/5
Step-by-step explanation:
He has 1 1/5 lb. He needs 8 lb.
He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.
8 - 1 1/5 =
We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have
= 7 5/5 - 1 1/5
We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.
= 6 4/5
Answer: 6 4/5
Andre is waiting for the school bus. He knows that 2 out of 6 cars in his town are white. He wants to determine the probability that at least two white cars drive by in a row. He uses a number cube as a simulation. He lets the numbers 1 and 2 represent a white car and lets all other numbers represent a car that is not white. He rolls the number cube 6 times and records the outcomes in the table below.
Trial Number Outcome
1 4, 3, 6, 1, 2, 4
2 5, 5, 1, 3, 6, 6
3 2, 5, 4, 4, 1, 3
4 6, 1, 5, 6, 6, 4
5 2, 1, 2, 6, 4, 5
6 3, 3, 1, 4, 2, 6
7 1, 5, 6, 2, 2, 3
8 3, 6, 4, 3, 4, 4
9 1, 1, 2, 1, 5, 6
10 4, 3, 3, 1, 5, 2
Based on the data, what is the probability that at least 2 white cars drive by in a row?
____%
Answer: hi
Step-by-step explanation:
There are 16 cans of soda. One eighth are Coke. How many Cokes
Answer:
2 cans are cokes.
Step-by-step explanation:
16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2
Which rule should be applied to reflect f(x)=x^3 over the line y=x?
Answer:
if y=x
than f(x)=x³
be
f(y)=y³
Answer:
y = x
f(x) = x³
f(y) = y³
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
a. 16 x 8 + 24
b. (16 ÷ 8) + 24
c. 24 − 8 + 16
d.(16 − 8) + 24
Answer:
Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.
The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
What is an expression?An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
The algebraic expression is,
''add 24 to the quotient of 16 and 8.''
Now, We can write the expression as;
Quotient of 16 and 8 is,
⇒ 16 ÷ 8
And, Add 24 to the quotient of 16 and 8.
⇒ (16 ÷ 8) + 24
Thus, The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
Learn more about the mathematical expression visit:
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Which of these is something you can pay for with the money in a savings account?
which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
1 L of petrol is used to travel 9 km.
Step-by-step explanation:
You can find the answers through the ratio method
20 L : 180 km
1 L : x
( x is the number we must find )
20 x = 180
x =
x = 9 km
Write the percent as a decimal.
0.23
%
0.23
%equals
Simplify (3/5x-5)(3/5x+5)
Answer:
9/25x^2 -25
Step-by-step explanation:
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
Find the approximate area of the triangle.
30 square
15 square
21 square
45 square
Answer:
A
Step-by-step explanation:
Hard to explain xD
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
write equations for lines
y=mx+b
y-y1=m(x-x1)
Ax+By= C
need help geometry question central angles and arcs?
Answer:
135
Step-by-step explanation:
360-90=270
270/2=135
-4.5t + 11.75 = 20.75
WITH STEPS
plzzzzzzzzzzzzzzzz SOLVE THE PIc
Answer:
The area is 72.
Step-by-step explanation:
2 * 6 = 12
6 * 10 = 60
60 + 12 = 72
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
72 units squared
Step-by-step explanation:
6x2=12
10x6=6
60+12=72
pls help me with this math question pls its hard i want the explanation pls
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°