Answer:
17.637 ounces
Step-by-step explanation:
35.274 ounces is 1 kilogram so divide 35.274 by 2
write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.
Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.
What is the SSS Congruence Theorem?The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.
We are given the following information:
AB ≅ EDCA ≅ CEAC bisects BDSince AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.
Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.
Therefore, ΔABC ≅ ΔEDC by SSS Congruence Theorem.
The two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/19262620
Rebecca can swim 90 meters in 2 minutes. If you graph this with minutes on the x-axis and meters on the y-axis, what will be the slope of the line?
May I please have some help with this problem?
The slope of a line is the average rate of change of the line.
The slope of the line would be 45
From the question, we understand that she can swim 90 meters in 2 minutes.
So, the slope (m) of the line of the graph would be
[tex]m=\frac{90 - 0}{2 - 0}[/tex]
Simplify the numerator, and the denominator
[tex]m=\frac{90}{2}[/tex]
Divide 90 by 2
[tex]m=45[/tex]
Hence, the slope of the line would be 45
Read more about slopes at:
https://brainly.com/question/4015585
During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?
Answer:
16 to 52
Step-by-step explanation:
Fill in the blanks to solve 900 x 6
Answer:
The answer is 900 ×6= 5,400 u can use a calculator
a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?
Step-by-step explanation:
that is the same as the volume of a cylinder :
pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³
≈ 201 in³
Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cylinder is given by the formula as shown below,
Volume of a cylinder = πr²h
where r is the radius of the cylinder while h is the height of the cylinder.
Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,
The volume of the tube = π × R² × h
= π × (4 inches)² × (4 inches)
= 64π inches³
= 201.0619 inches³
Hence, the volume of the tube is 201.0619 inches³.
Learn more about Volume:
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Find the equation of the line
Answer:
Y = 4x - 9
Step-by-step explanation:
Hope this helps! If it’s wrong I’m really sorry.
Pls give brainliest!
Answer:
...
Step-by-step explanation:
If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answer:
17 and a half days OR 18 days
Step-by-step explanation:
7 books : 8 days
20 books: x days
cross multiply
x = (8×20)÷ 7
x = 17.5
therefore
17 and a half days or 18 days
A pair of pants costs $24.60 when it is on sale for 25% off. What was the
original cost of the pants? (still....no labels!)
well, we know the pants are 25% off, that means the current sale price is only 75% of the original price, say the original price is "x" or 100%. So we know that $24.60 is 75%, what is the 100%?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 24.6&75\\ x&100 \end{array}\implies \cfrac{24.6}{x}=\cfrac{75}{100}\implies \cfrac{24.6}{x}=\cfrac{3}{4} \\\\\\ 98.4=3x \implies \cfrac{98.4}{3}=x\implies 32.8=x[/tex]
6x + 34x - 6 =8(5x + 10)
[tex]6x+34x -6 = 8(5x+10)\\\\\implies 40x -6 = 40x +10\\\\\implies 40x -40x = 10+6 \\\\\implies 0 =16\\\\\text{Which is not true. So no solution.}[/tex]
Need help please and thank you.
Answer:
[tex]log_4(\frac{1}{64})=-3[/tex]
Step-by-step explanation:
[tex]log_b(b^x)=x[/tex]
Let b = base and x = the exponentLooking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.
[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]
Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].
[tex]\sf 3x+6y=12[/tex]
Answer:
[tex]3x + 6y = 12[/tex]
[tex]3x + 6y - 6y = 12 - 6y[/tex]
[tex]3x = 12 - 6y[/tex]
[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] \frac{3x}{3} = 1 = x[/tex]
[tex] \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] = \frac{12 - 6y}{3} [/tex]
[tex] = \frac{6(2 - y)}{3} [/tex]
[tex] \frac{6}{3} = 2[/tex]
[tex] = 2( - y + 2)[/tex]
[tex]x = 2( - y + 2)[/tex]
Answer:
x=2(3-y)
Step-by-step explanation:
3x+6y=12
x+2y=4
x=4-2y
=2(2-y)
America says that the point (0,0) on the graph below means that you use no sugar if you make 1 pie. Is America correct?
Answer:
America is correct
Step-by-step explanation:
it says 0,0 and then it would mean it wouldn't have any sugar in the pies
Answer:
No, America's wrong.
If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.
Simply:
3 (2x - 2) -2 (x - 2)
A: 3x -3
B: 3x -4
C: 4x -2
D: 4x -4
Answer:
4x-2
Step-by-step explanation:
6x-6-2x+4
=4x-2
Simplify the expression 16+(−5)−6/7j−2/7j+6
please help ill mark brainliest
Answer:
x=3
Step-by-step explanation:
6(x+5)=4(x+9)
6x+30=4x+36
2x+30=36
2x=6
x=3
CAN SOMEONE HELP ME WITH THIS?
Answer:
d
Step-by-step explanation:
which statement about decision making analysis is false
Answer: Id personally say D
Step-by-step explanation:
What is the height of a cylinder if the radius is 6 cm and volume is 904.78
Answer:
8 cm
Step-by-step explanation:
h = v/(pi r^2)
h = 904.78/ (3.1415 * 6^2)
Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.
Answer:
[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
-6x +7y= -62
Rewriting this equation into the slope-intercept form:
7y= 6x -62
[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]
The product of the slope of 2 perpendicular lines is -1.
Let the slope of the unknown line be m.
[tex]m( \frac{6}{7} ) = - 1[/tex]
[tex]m = - 1 \div \frac{6}{7} [/tex]
[tex]m = - \frac{7}{6} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{7}{6} x + c[/tex]
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= -3,
[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]
[tex] - 3 = - \frac{28}{3} + c[/tex]
[tex]c = \frac{28}{3} - 3[/tex]
[tex]c = \frac{19}{3} [/tex]
[tex]c = 6 \frac{1}{3} [/tex]
Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].
If Janet earned e extra credit points. Mona earned 32 fewer extra credit points than Janet.
What is the expression that shows how many extra credit points Mona earned?
How many terms are in the expression?
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.
Victoria says that she has enough money to buy the skateboard. Is she correct?
A $300 bike is marked down to $175. Find the percent markdown to the nearest whole percent.
Answer:
58
Step-by-step explanation:
58 because you divide 200 by 100 then getting that answer (3) then divide 175 by 3 which equals one percent and you get 58.333 you round it to the nearest whole and u get 58
What type of association does the graph show between x and y
Answer:
Nonlinear positive association
Step-by-step explanation:
It is nonlinear because it does not form a straight line.
It is positive because it is going up to the right.
I hope this helps!
What is the value of 40 1/2÷3 1/2
Answer:
81/7 (11.57, 11 4/7)
Step-by-step explanation:
Lets rewrite these mixed fractions
[tex]40\frac{1}{2}=\frac{81}{2}[/tex]
[tex]3\frac{1}{2} =\frac{7}{2}[/tex]
Here we can do divide these two numbers:
[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]
The answer therefore is 81/7, or 11.571 (11 4/7)
I’m failing pls help I’ll brainlest ASAP
if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?
Answer:
24 bags = 21 kg
1.142 bag = 1 kg
About 139 bags = 122 kg
You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.
Your final answer: 139 bags
I hope this helped!
PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK
Answer:
Step-by-step explanation:
-(4q+8) + 6q = 12q - 5/6(18q + 6)
Open brackets:
<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6
<=> - 4q - 8 + 6q = 12q - 15q - 5
Put q in one side and non q in one side:
<=> - 4q + 6q - 12q + 15q = 8 - 5
<=> 5q = 3
<=> q = 3/5
3-8(1+8x)=-133
Solve for x
Answer:
x=2
Step-by-step explanation:
Expanding, we have 3 - 8-64x=-133.
Combining like terms, we have -5 - 64x=-133
Adding 5 to both sides, we have -64x= -128
Dividing by -64, we have x = 2
Kendall tracked the amount of water his windowsill plant needed each week over ten weeks. Her data is shown below.
Which of the following is true?
A.
There is a negative association between the number of weeks and the ounces of water the plant needed.
B.
There is a positive association between the number of weeks and the ounces of water the plant needed.
C.
There is no association between the number of weeks and the ounces of water the plant needed.
D.
There is both a positive and negative association between the number of weeks and the ounces of water the plant needed.
Answer:
Perfort the indicated operation Show your solution in
the gevin below
Find the volume of a pyramid with a square base, where the perimeter of the base is 18.1 ft and the height of the pyramid is 28.1 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
191.8
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
the volume of a pyramid is
base area × height / 3
the base area here is a square.
we know its perimeter : 18.1 ft, which is 4 times the side length.
so, one side of the square is :
18.1/4 = 4.525 ft
the area of the square is side² = 4.525² = 20.475625 ft²
we also know the height of the pyramid, so the volume is :
Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³
the rounded volume of the pyramid is 191.8 ft³
