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
uysha [10]
3 years ago
8

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b

elow is equal to the measure of the exterior angle.
Step 1: m∠x + m∠y + m∠z = 90 degrees (sum of adjacent angles)
Step 2: m∠w + m∠z = 180 degrees (supplementary angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (corresponding angles)
Step 2; it should be m∠w + m∠z = 90 degrees (supplementary angles)
Step 2; it should be m∠w + m∠z = 90 degrees (adjacent angles)

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

The correct option is 1.

Step-by-step explanation:

The according to the angle sum property of triangle, the sum of interior angles of a triangle is 180°.

Step 1: According to the student in triangle ABC,

\angle x+\angle y+\angle z=90^{\circ}

Which is not correct because the sum of interior angles of a triangle is 180°. So, he did a mistake in step 1.

In triangle ABC,

\angle x+\angle y+\angle z=180^{\circ}    ... (1)       (sum of angles of a triangle)

Step 2: \angle w+\angle z=180^{\circ}     .... (2)    (supplementary angles)

Step 3: Equating (1) and (2), we get

\angle x+\angle y+\angle z=\angle w+\angle z

Stpe 4: \angle x+\angle y=\angle w

Therefore the correct option is 1.

blsea [12.9K]3 years ago
5 0
The correct answer is A.  All triangles' interior angles equal 180.
You might be interested in
Y=2x2
yaroslaw [1]
C. Every y-value is twice the square of its x-value
3 0
3 years ago
2/5 as a decimal and percentage
erastova [34]
2/5 in a decimal form= 0.4

2/5 in a percentage form= 40%

Hope this Helps!
8 0
3 years ago
Read 2 more answers
Find slope (17,11), (6,-2)
Snowcat [4.5K]

Answer:

The slope is 1.181818182 or just round to 1.18.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch?
mars1129 [50]
There are 36 inches in a yard so 36*2.54 = 91.44 centimeters
4 0
3 years ago
The ratio to cats at an animal shelter 3:1. if there are 56 dogs and cats in all, how many more dogs than cats are there??
Black_prince [1.1K]

Answer:

There are 28 more dogs than cats at the animal shelter.

Step-by-step explanation:

If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.

The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.

After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.

So there are 42 dogs and 14 cats at the animal shelter.

However, it is asking for how many more dogs than cats there are, so you have to subtract 42 - 14 and the answer is 28 more dogs than cats.

6 0
2 years ago
Other questions:
  • Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
    12·2 answers
  • Which is bigger 1/10 or 5/12
    8·1 answer
  • A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob
    5·1 answer
  • May I please have help? Thank you! And can you please tell me how you got the answer? Thank you again!
    9·1 answer
  • Anna has 7.2 cups of cookie batter. If she uses all the batter to make 16 equal sized cookies, how much batter are in each cooki
    11·2 answers
  • 4. Convert the following fractions to decimals<br> 1. 23/100
    5·2 answers
  • CAN SOMEONE PLEASE HELP ME???
    13·1 answer
  • A square number and a multiple of 3 have a total of 90 what r the 2 numbers
    12·1 answer
  • I need help on this and the person who answer this correctly gets a BRANILIST​
    12·1 answer
  • The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. Y
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!