1answer.
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
Naddika [18.5K]
3 years ago
10

Find the missing angle: e.

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer: e = 33

Keep referring to the picture to understand which part of the figure I am talking about.

Step-by-step explanation:

So starting from the top triangle, one of the angles are 34 and the triangle looks like an Isosceles (a triangle that has 2 equal angles and sides). So to find the other 2 angles you have to take away the already given angle from 180 (as all angles in a triangle add up to 180 degrees) and divide it by 2. So- 180 - 34 = 146.

146 ÷ 2 = 73- angle of each of the remaining 2 sides.

The left side of that triangle is extended to be part of the quadrilateral (the four sided figure with angle e). So to now solve the top left angle of the quadrilateral which is connected to the triangle you have to takeaway the angle which is part of the triangle from 180 (Angles on a line add to 180) So-

180 - 73 = 107 - angle for the top left part of the quadrilateral.

To find the 3rd angle on the bottom right, you need to solve the angles of the bottom triangle connected to it. Use the same method I have shown for the top triangle as the triangle look like an Isosceles like the other one -

180 - 30 = 150

150 ÷ 2 = 75- angle of each of the remaining 2 sides

Coming back to finding the 3rd angle, you have to use the line at the bottom where you found one of angles now. Use the same angles on the same line rule used before-

180 - 75 = 105- angle for the bottom right of the quadrilateral

You now have all the angles in the quadrilateral except for e which you will find by adding up all the known angles in the quadrilateral and take it away from 360 (all angles in a quadrilateral add to 360) So-

115 + 107 + 105 = 327

360 - 327 = 33

Therefore e = 33

You might be interested in
4 Riley finds a recipe for bubble solution that uses 1 cup water, 2 cup dish soap,
Arada [10]

Answer:

1 cup

Step-by-step explanation:

the recipe calls for one cup of water per two cups of dish soap, so if she uses two cups of dish soap she should use one cup of water and one tablespoon of corn syrup.

4 0
3 years ago
Can someone help me with this?
Norma-Jean [14]

Answer:

the answer is d. ASA

BAC is congruent to DAC because its an angle bisector

AC is congruent to AC by the reflexive property of congruence

BCA is congruent to DCA because its a perpendicular bisector

4 0
3 years ago
Read 2 more answers
The figures below are similar. The labeled sides are corresponding.
Leno4ka [110]
I need the points sorry
4 0
2 years ago
Read 2 more answers
Which expression is equivalent to xy^2/9?
Law Incorporation [45]

Answer:

xy^\frac{2}{9} = x*\sqrt[9]{y^2}

Step-by-step explanation:

Given

xy^\frac{2}{9}

Required

The equivalent expression (see attachment)

We have:

xy^\frac{2}{9}

Split

xy^\frac{2}{9} = x*y^\frac{2}{9}

Apply the following laws of indices

y^\frac{m}{n} = \sqrt[n]{y^m}

So, we have:

xy^\frac{2}{9} = x*\sqrt[9]{y^2}

<em>Hence (d) is correct</em>

5 0
2 years ago
Please help me it’s math iready for a 7th grader
Artemon [7]

Answer:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

Step-by-step explanation:

The best answers would be:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

First of all, let's figure out what the question is asking us:

The question is asking us to find the amount of money on the gift card

It tells us to use "m" for "the amount of money on the gift card"

Now that we know the following, we can put together the equation

m = the amount of money on the gift card

$7.50 = cost of the book

$12.50 = amount remaining

Since he receives the gift card and then buys a book that costs $7.50, we are going to "have to subtract $7.50 from m". And we know that $12.50 is remaining, so we "make the equation equal to 12.50".

So, let's set up the equation:

m - 7.50 = 12.50

Now that we know the equation, we can solve for "m"

m - 7.50 = 12.50

Step 1: Add 7.50 to both sides.

m − 7.50 7.50 = 12.50 + 7.50

Step 2: Simplify

Answer: m = 20

Another way you can set up this equation is:

m = 7.50 + 12.50

Because we want to find "m", we set it equal to the equation. Since Salim bought a book for $7.50 and had $12.50 remaining, we want to find how much he had on the gift card that made him have $12.50 remaining when he bought the book. So, we have to add 7.50 and 12.50, to find how much is on the gift card.

So, the equation "m = 7.50 + 12.50", makes sense when solving for "m"

Hint: Once you have realized that the equation has Like Terms on the same side you must Combine the Like Terms by either adding them together or subtracting them.

Now that we know the equation, let's solve it

m = 7.50 + 12.50

Step 1: Combine like terms

m = (7.50 + 12.50)

m = 20

Since both equations equal $20 and both make sense, we can conclude that these are the best options.

5 0
2 years ago
Other questions:
  • If x is an odd number, write an expression for the odd number that directly follows x.
    13·1 answer
  • I need help multiplying decimals. 0.0015 x 0.004
    12·2 answers
  • A bookstore can purchase several calculators for a total cost of $120. If each calculators cost $1 less, the bookstore could pur
    7·1 answer
  • As a team leader, Lisa shows compassion to her subordinates and respects them. She gives credit to her followers for their achie
    10·1 answer
  • the population of a city grows 7% each year. if it’s current population is 450,000, in how many years will the city’s popular ge
    13·1 answer
  • Myron got his paycheck of $40 this weck. He had $11 left after he spent m dollars on new video
    11·2 answers
  • MATH QUESTION!! WILL MARK BRAINLIEST!! PAST DUE HELP ASAP!!!
    10·1 answer
  • What is the multiplicative inverse of 8? <br> -1/8 <br> 1/8 <br> -8 <br> 0.08
    6·2 answers
  • Writing lan's car can go 180 miles on 5 gallons of gas. During a drive last weekend, lan used
    7·1 answer
  • A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 - 0.75,
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!