Answer:
To regroup the tenths, we move the 10 in the 12 up a place value to the ones place. Then we keep the 2 in the tens place.
Hope it helped!
Answer:
3/8
Step-by-step explanation:
2/3 * y = 1/4
divide by 2/3 on both sides
y = (1/4) / (2/3)
y = 3/8
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
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.
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A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood?
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
Jasper should use the median to make an inference about the house values in his neighborhood.
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have been given the house values in Jasper's neighborhood as:
House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Now, We can see the value of house E is very high from other houses in Jasper's neighborhood.
And, The value of house E will make the mean house value above the center of the data as House E is an outlier for our given data.
Since, We know that;
The median of a data set with an outlier is not affected by the value of outlier,
Therefore, Jasper should use the median to make an inference about the house values in his neighborhood.
Thus, Jasper should use the median to make an inference about the house values in his neighborhood.
Learn more about the addition visit:
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Hello there!
Answer: ⇒⇒=1975
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Step-by-step explanation:
First you had to multiply by the number.
1975 is the right answer.
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Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
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