answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
2 years ago
10

Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (

x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees. If a ∥ b and e ∥ f, what is the value of y? 87 88 91 92

Mathematics
2 answers:
mojhsa [17]2 years ago
7 0

Answer:

92

Step-by-step explanation:

Paul [167]2 years ago
4 0

Answer: y=90\°

Step-by-step explanation:

Based on the description given in the exercise, you can draw the horizontal lines "e" and "f" cut by the vertical lines "a" and "b".

By definition, when a horizontal line and a vertical line intersect each other, the angle formed by this intersection measures 90 degrees.

A "Right angle" is defined as an angle that measures 90 degrees.

Therefore, if a vertical line intersects a horizontal line, you can say that they are perpendicular.

You can observe in the image attached that the vertical lines "a" and "b" cut the horizontal lines "e" and "f". Therefore, since a||b and e||f, all the angles formed by this intersections measure 90 degrees.

Therefore, you can conclude that:

y=90\°

You might be interested in
What is the total surface area of the square pyramid below? <br><br>question above <br>​
Wewaii [24]

Answer:

132 m².

Step-by-step explanation:

What's the surface area of each lateral face of this pyramid?

Each lateral face of this pyramid is a triangle, with

  • a height of 8 meters
  • on a base 6 meters.

The base of this pyramid is a square. As a result, all four lateral sides are congruent. The area of each of these triangle is thus

\displaystyle \frac{1}{2}\times \text{Base}\times \text{Height} = \rm \frac{1}{2} \times 6 \times 8 = 24\; m^{2}.

The base of this pyramid is a square. The length of a side of this square is 6 meters. The area of the base will be

\text{Side}^{2} = \rm 6^{2} = 36\; m^{2}.

Put the five faces together to get the total surface area of this square pyramid:

\rm 4\times 24 + 36 = 132\; m^{2}.

8 0
2 years ago
A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.
Mariana [72]

Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability \dfrac{15}{75}=\dfrac15 of being drawn.

This means one would expect a theoretical frequency of \dfrac{1250}5=250, i.e. any given letter should get drawn 250 times, which means the answer is D.

4 0
2 years ago
An urn contains two red and two green marbles. we pick one marble, record its color, and replace it before picking the second ma
pickupchik [31]
Djdjdjdjdjdjdjdjdjdjdjdjddjdjdjdjdjdjdjdjskksskskskskskskskskkkkkkkkkkkks;akkkkkkkkkkkkkkks;akkkkkkkkkkkkkkkkkkkkkkkkkok;aaaaaaaaaaaaaaaaaaaaaaaaaaaaaadkkkkkkkkka;ddddddddkkkkkkkkkkkkkkkkkkkkkkaaaaaaaaaaaaaaaaaaaaaaaaakooooooooooooooooooooooooooooooooooooooooooooooooo
4 0
2 years ago
Read 2 more answers
A rectangular Corn Hole area at the recreation center has a width of 5 feet and a length of 10 feet. If a uniform amount is adde
almond37 [142]
1. The formula for calculate the area of a rectangle, is:
 
 A=LxW
 
 A is the area of the rectangle
 L is the length of the rectangle.
 W is the widht of the rectangle

2. You have that:
 
 -The<span> rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
 
 L1=10 feet
 W1=5 feet
 
 - When</span> a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
 
 3. The new length is:<span> 
 
 L2=L1+x+x
 L2=L1+2x
 L2=10+2x
 
 4. The new width is:
 
 W2=W1+x+x
 W2=W1+2x
 W2=5+2x
 
 5. The new area is:
 
 A2=84 feet</span>²<span>
 
 6. Then, you have:
 
 A=LxW
 84</span>=(10+2x)(<span>5+2x)
 
 7. When you apply the distributive property, you obtain a quadratic equation:
 
 4x</span>²+30x-34=0
<span> 
 8. You can solve with by applyin the quadratic formula: 
 
 x=(-b±√(b^2-4ac))/2a
 
 a=4
 b=30
 c=-34
 
 9. Then, the answer is:
 
 x=1 feet
</span><span> 
</span>
5 0
2 years ago
Read 2 more answers
One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outs
mr Goodwill [35]

Answer:

It's C

Step-by-step explanation:

Your graph should be this one, with both lines solid because, the X line, or red, has to be at least -1 or higher, and the Y line, or the blue, has to be +4 or higher

4 0
2 years ago
Read 2 more answers
Other questions:
  • Consider the exponential function f(x) = 3 and its graph. Which statements are true for this function and graph? Check all that
    12·2 answers
  • Reggie heard that as a general rule, he should save at least 10% of his take- home pay. If Reggie's take-home pay is $2340 per m
    12·2 answers
  • A new car has a sticker price of 24,750, while the invoice price paid was 21,950. What is the dealer markup?
    6·1 answer
  • Jack and Marci’s restaurant bill was $50. They usually leave an 18% gratuity, but because they received exceptional service, the
    12·2 answers
  • Ben baked brownies in the brownie pan shown below. Each day, he is going to eat 303030 square centimeters of brownie from the pa
    8·2 answers
  • Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a
    5·1 answer
  • Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose
    8·1 answer
  • How could the headline best be revised to make it
    15·2 answers
  • Solve 7x- c= k for x. <br>A. X = 7(k+C) <br>B. x = 7(K-C) <br>C. X = k+c/7 <br>D. X= k-c/7​
    10·1 answer
  • Where is each point located on the graph?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!