Answer:
The angles in a triangle should always add up to 180 degrees.
The four angles made by a set of intersecting lines will always add up to 360 degrees and the ones across from eachother are always the same.
This means that the triangle's unmarked angle is 60 degrees.
2*24 = 48 and 3*24 = 72 48 + 72 + 60 = 180 degrees
24 will be your correct answer.
Step-by-step explanation:
A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;
(x + 7) + (x² - 2x
) + (x +3) + (2x - 2) = 43
x² - 2x + 4x + 8 = 43
x² - 2x - 35 = 0
Upon solving for x by factorization;
( x - 5) ( x + 7) = 0
The values of x are; 5 and - 7
Since the side of shape cannot have a negative value, -7 is ignored.
x = 5
The length of the sides are;
- X+7 = 5 + 7 = 12
- x² - 2x = 5² - 2(5) = 25 - 10 = 15
- X+3 = 5 + 3 = 8
2x-2 = 2(5) - 2 = 10 -2 = 8
Check:
8 + 8 + 15 + 12 = 43
Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
Answer:
the answer is
Step-by-step explanation:
The proportion of coconut milk in the cocktail is ml for every 15 ml of orange juice.
Proportion shows the fractional composition of a given quantity or substance.
So that:
orange juice = 15 ml
contents of the orange juice;
apple juice = 25 ml
coconut milk = 10 ml
total = 35 ml
So that;
the fraction of apple juice in the orange juice = x 15
=
the fraction of apple juice in the orange juice = ml
Also,
the fraction of coconut juice in the orange juice = x 15
=
the fraction of coconut juice in the orange juice = ml
Therefore, the proportion of the cocktail that is coconut milk is: for every 15 ml of orange juice, then ml of coconut juice is required.
Answer:
-3
Step-by-step explanation:
When you have an equation in the form y=mx+b, then the number at the end is the y-intercept.
