4^2+4×11
16+44
60 is the answer to the question
First of all, if you are traveling more, then you will have to take more time to get there. So since the answer A is less than the original number 50 you can rule that choice out. Now to solve, you will put 50 over 55 such as this 50/55. This represents miles/minutes. So next you will put 75/x since we are trying to solve for x (minutes). Now our problem looks like this 50/55 times 75/x. To solve the answer you will need to cross multiply. You will multiply 75 and 55 together to get 4,125. (This will be your numerator, or top number) Next you will multiply 50 and x, this gives you 50. (This will be your denominator, or bottom number. Now you have 4,125/50. Divide your two numbers and you get 82.5! The answer is D. 82.5! Hope I helped!
Answer:
Dude just drag it into the box
Step-by-step explanation:
Answer:
To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.
Now we can solve this.
100+c=180.
Move the 100 over to the other side.
100-100+c=180-100
Simplify.
∠C=80°
Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.
∠E=70°
Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.
80+70+D=180
Simplify this.
150+D=180
Now we move the 150 over to the other side to get D by itself.
150-150+D=180-150
Simplify.
D=30
∠D=30°
Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.
∠A=30°
We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.
30+B=180
Now we move the 30 over to the other side.
30-30+B=180-30
Simplify.
B=150
∠B=150°
I hope this helps!
Area of pool edge = Area of big rectangle - Area of the pool
Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²
2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800
Length × width = 4800
From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.
We also need the width of the big rectangle to be [[x + x] more than the width of the pool.
Length = 60 + 2x
Width = 40 + 2x
Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]
x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10
We can only use the positive value of x since the context is length
Hence, x = 60