![gorbyalexis](/avatars/37887.jpg)
gorbyalexis
07.05.2021 •
Mathematics
Which is a possible benefit of having a good credit history?
Solved
Show answers
More tips
- F Food and Cooking Ginger: A Universal Ingredient for Various Dishes...
- A Auto and Moto Which alarm system to choose?...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
- F Food and Cooking Experts Name Top 5 Healthiest Teas...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Liver Cleansing - Rejuvenation for the Body?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
Answers on questions: Mathematics
- M Mathematics 20 pts to whoever helps A simple random sample of 28 wait times while pumping gas at a gas station has a standard deviation of 20 seconds. The test statistic for the random...
- M Mathematics A student claimed that the transformation (x, y) arrowright (3x, y) is a rigid motion because the segment joining (2, 1) to (2, 3) is transformed to the segment joining (6,...
- H History Which of the following accurately describes the relationship between China and Japan during the Tang and Song dynasties? A Japan refused to trade with China, greatly weakening...
- S SAT If 49. 0 g of o2 is mixed with 49. 0 g of h2 and the mixture is ignited, what is the maximum mass of water that may be produced?....
- M Mathematics A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee)....
- M Mathematics Mercedes is going to have her car fixed. cairo prince auto tech charges $45 for an estimate plus $24 per additional hour of work. tarantino’s car garage offers a free estimate...
Ответ:
the angles opposite each other when two lines cross, they are always equal.
in this problem ∠7 and ∠8 are vertical angles.
"vertical" refers to the vertex (where they cross), not up/down. they are also called vertically opposite angles.
let
> ∠7
∠7= ∠8
angle (5y-29) and angle 7 are supplementary angles
so
(5y-29)+ ∠7=> (5y-29)+x=> equation 1
angle (5y-29) and angle (3y+19) are vertical angles
so
(5y-29)=(3y+> 5y-3y=19+> 2y=> y=24°
substitute the value of y in equation 1
(5y-29)+x=> (5*24-29)+x=> x=180-> x=89°
therefore
the answer is
∠7=89°
∠=89 °
y=24°