The sum of two decimals numbers is 5.3 their difference is 1.7 and their product is 6.3 what are the two numbers
Answers
Answer:
3.5 and 1.8
Step-by-step explanation:
x + y = 5.3
x - y = 1.7
2x = 7.0
for x:
x = 7/2
x = 3.5
for y:
3.5 + y = 5.3
y = 5.3 - 3.5
y = 1.8
Answer:
3.5 and 1.8
Step-by-step explanation:
x=y=5.3
x-y=1.7
x=3.5
y=1.8
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What is the value of x? (Figures not drawn to scale.)
Answers
Answers
If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).
Therefore DF ≅ EF.
DE = x + 4, EF = 4x - 8, DF = 7x - 35
The equation:
7x - 35 = 4x - 8 add 35 to both sides
7x = 4x + 27 subtract 4x from both sides
3x = 27 divide both sides by 3
x = 9
DE = x + 4 → DE = 9 + 4 = 13
EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28
DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28
Answer:
x = 9, DE = 13, EF = 28, DF = 28.
In Triangle DEF, if angle D is congruent to angle E, then this is an isosceles triangle, meaning DE = DF. By setting these values equal and solving the algebraic equation, we find x = 6.5. Therefore, the lengths of sides DE, DF, and EF are 10.5, 10.5, and 18 respectively.
In triangle DEF where angle D is congruent to angle E, it implies that triangle DEF is an isosceles triangle because two angles in the triangle are congruent. In an isosceles triangle, the two congruent sides are equal. Therefore, DE = DF.
The lengths of these sides are represented as 'x + 4' and '7x - 35' respectively. So we can set up the following equation:
x + 4 = 7x - 35
Solve this equation to find the value of x.
By subtracting 'x' on both sides and adding '35' on both sides, you get:
6x = 39
Dividing both sides by '6' to isolate 'x', we get:
x = 6.5
So, the lengths of the sides DE and DF are:
DE = x + 4 = 6.5 + 4 = 10.5
DF = 7x - 35 = 7 * 6.5 - 35 = 10.5
EF = 4x - 8 = 4 * 6.5 - 8 = 18
Therefore, the lengths of the sides DE, DF, and EF are 10.5, 10.5, and 18 respectively.
Learn more about Isosceles Triangle here:
#SPJ3
Answers
Answer:
Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.
The difference shown cannot be written as a quotient of logarithms.
The step ln(x2) = ln(3x) - (0) reduces to
ln(x2) = ln(3x).
The possible solutions are 0 and 3, with 0 being extraneous.
Step-by-step explanation:
on edg
Answers
So 38 feet is greater then 456 inches.
B. 1:3
C. 4:1
D. 1:4
2. In a probability experiment, Eric flipped a coin 42 times. The coin landed on heads 28 times. What is the ratio of heads to tails in this experiment?
A. 2/3
B. 2/1
C. 1/2
D. 2/3
Answers
Answer: 1. B. 1:3
2. A.
Step-by-step explanation:
- The ratio of m to n is written as
1. Given : Rachel has 6 pairs of black shoes and 2 pairs of red shoes.
Then, the ratio of pairs of red shoes to pairs of black shoes will be :_
Which is written as 1:3.
Hence, the ratio of pairs of red shoes to pairs of black shoes = 1:3
Thus , correct option : B. 1:3
2. Given : In a probability experiment, Eric flipped a coin 42 times. The coin landed on heads 28 times.
Then, the ratio of heads to tails in this experiment will be :-
Hence, the correct option is : A.
the first one is A, because you divide both numbers by two, and make sure they are in the right order.
the answer to the second one is 2/3, because 28 divided by 42 is .66666
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Answer:
Maury’s head will hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6.
Step-by-step explanation: