Answer:
2,347 > 2,289
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:
∠D = 10x
50° = 10x
Divide each side by 10 to isolate x:
50/10 = 10x/10
x = 5
Answer:
Step-by-step explanation:
When two variables are directly proportional, then an increase in the value of one variable would cause a corresponding increase in the value of the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the value of the other variable.
The volume of a gas is directly related to the temperature of the gas. If V represents volume, T represents temperature and k represents the constant of proportionality, the expression becomes
V = kT
At 20 degrees Celsius a certain gas has a volume of 125 cubic centimeters. It means that
125 = 20k
k = 125/20
k = 6.25
The equation becomes
V = 6.25T
When T = 50 degrees Celsius, the new volume would be
V = 6.25 × 50
V = 312.5 cubic centimeters
Answer:
Step-by-step explanation:
Diameter:
A line passing through the center of the circle touching the circle at two points, is called diameter.
OR
The chord passing through the center is diameter.
It is double of the radius.
so,
Diameter = (2) (Radius of the circle)
Radius:
Diameter divided by 2.
OR half of the diameter is called radius.
So,
Radius = (1/2) (diameter of the circle)
Area of a circle:
Area of a circle =πr^2
Using π=3.14
Area ≈ (3.14) (radius squared)
Circumference of a cricle:
It is equal to 2πr
If π=3.14, then 2π=6.28
Circumference ≈ (6.28) (radius of the circle)
The mathematical expression that represents the given statement is 4/(7-x)
<h3>Writing an Expression </h3>
From the question, we are to write a mathematical expression for the given statement
The given statement is
"4 is divided by the difference of 7 and a number."
First,
Let the number be x
"the difference of 7 and a number" means
7 - x
Thus,
"4 is divided by the difference of 7 and a number" is
4/(7-x)
Hence, the mathematical expression that represents the given statement is 4/(7-x)
Learn more on Writing and Expression here: brainly.com/question/4681624
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