Answer:
26, 27, 28, 29
Step-by-step explanation:
Let the first integer be x.
Then, (x)+(x+1)+(x+2)+(x+3) = 110
=> x+x+1+x+2+x+3 = 110
=> 4x+6 = 110
=> 4x = 110-6
=> 4x = 104
=> x = 104/4
=> x = 26
So, the four consecutive integers are:
1. x = 26
2. x+1 = 26+1 = 27
3. x+2 = 26+2 = 28
4. x+3 = 26+3 = 29
Answer: 12 out of 24, so 1/2
Step-by-step explanation:
Add 3 and 9 together since those are the desired colors, then put it out of the total (24) and simplify the fraction down. Hope this helps!
Answer:
The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
Step-by-step explanation:
There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).
This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.
This leaves you with the SSS Theorem.
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
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Answer:
4/5x + 7
Step-by-step explanation:
the slope-intercept form is y = ax+b
a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4
There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5
b is the intercept to get it use the point (0,7)
so y = 4/5x+b, 7 = 4/5 * 0 + b, then b = 7