The length of DE is 4 unit.
In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
We have ABC is isosceles with AB=AC=8 units and BC=6 units.
and, ABC is a bigger triangle with AB = AC = 8 and BC = 6
Smaller triangle BDE is created by joining D and E, which represent the middles of AB and BC, respectively.
The midpoint is D. AB = 8 then AD = 4.
Also, BE = 4.
Triangles ABC and BDE are similar triangles.
DE/ AC = BD/ AB = BE/ BC
DE/ 8 = 4/8 = 3/6
DE = 4.
Learn more about Proportion here:
#SPJ7
Considering a gas tank's full capacity of 14.5 gallons, after using 1.5 gallons, subtract this from the initial amount to find how much gasoline remains. This leaves us with an inequality 0 ≤ G ≤ 13, where G represents the gasoline left in the tank.
The subject of this question is the calculation of quantities in everyday life, specifically in regards to gasoline use for a car. We start with an initial total fuel capacity of 14.5 gallons. We then subtract the amount of fuel used for a trip to the grocery store, which is 1.5 gallons. This subtraction operation shows how much gasoline remains in the tank.
Step-by-step, the solution could be described like this:
Therefore the inequality representing the amount of gasoline left in the gas tank is 0 ≤ G ≤ 13, where G is the amount of gasoline left in the tank.
#SPJ12
is -1.
¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93
The Problem:
The Process:
Here are some early expressions that need attention.
Let us write an expression to match for 7 times as much as the sum of and
Let us calculate the operation in parentheses at first.
A least common multiple of 3 and 5 is 15. We use to equate the denominator.
And now we solve the full expression.
We do not cross out 7 and 15 because they both cannot be divided.
In mixed fraction:
In decimal:
- - - - - - - - - -
Quick Steps:
Keywords: 7 times, as much as, the sum of 1/3 and 4/5, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25
1/2x+5=15
Help please
Hello! :)
1/2x + 5 = 15
1/5x + 5 - 5 = 15 - 5 Subtract 5 from both sides
1/2x = 10
2 * (1/2x) = (2) * (10) Multiply both of the sides by 2
x = 20
Hope this answer helped you!
THEDIPER
Answer:
x = 20
Step-by-step explanation:
1/2 x 20/1 = 20/2 = 10
10 + 5 = 15
Hope this helps.
x=52, y=76
x=38, y=104
x=52, y=104
The value of each variable are; x=38 and y=104
Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
We need to find the values of the variables x and y from the figure.
We know that if the two angles make a linear pair, then the sum of their measures is 180°.
The angles with measures y° and 76° makes a linear pair angles, so we have
y + 76 = 180
y = 180 - 76
y = 104
Also, angles with measures 2x° and y° makes a linear pair angles, so we have;
2x+y=180
2x = 180 -y
2x = 180 - 104
x = 38 degrees
Hence, the value of each variable are; x=38, y=104
Learn more about angles;
#SPJ2