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One of the exterior angles of an isosceles triangle is 115°. Find the angles of this triangle.
If one of the outer corners of an isosceles triangle is 115 degrees, then the internal angle is 180-115 = 65 degrees.
The task has 2 solutions.
Let the angle at the vertex is 65 degrees. Then the angles at the base are (180-65): 2 = 57.5 degrees.
Let the angle at the base be 65 degrees, then another angle at the base is 60 degrees. The vertex angle is 180- (65 + 65) = 50 degrees.
Answer:
Case 1: The measure of interior angles are : 65°, 57.5°, 57.5°
Case 2: The measure of interior angles are : 65°, 65°, 50°
Explanation:
We are given an isosceles triangle. In the triangle two sides and two angles having the same measures.
We are given an exterior angle 115°.
So the corresponding interior angle is 180-115 = 65 degrees.
We need to find other two interior angles.
Case 1:
If the given exterior angle is top of the vertex angle, then the base of the interior angles are:
(180-65) ÷ 2 = 57.5°. {because in isosceles triangle two sides and two angles having the same measures]
So, each base angles measures 57.5°.
The measure of interior angles are : 65°, 57.5°, 57.5°
Case 2:
If the given measure of exterior angle is in base, then one angle must be 65°.
Other angle = (180 - (65 +65)) = 180 - 130 = 50°
The measure of interior angles are : 65°, 65°, 50°
Which sentence includes a descriptive adverb in a dependent clause? A) After the last game, Mom invited the team to our house. B) She decorated a cake to look like a soccer field. C) Although we didn’t always play superbly, we all learned something. D) We were a team, because each member had an important role.
Answer:
A
Explanation:
after the last game, that would be a time, so that adverb with "Mom invited the team to our house," would be a descriptive adverb in a dependent clause
While driving on a two-lane highway, you come over a hill and discover that your side of the highway is blocked by stopped vehicles. There is traffic in the oncoming lane. There is a guardrail on your right. And you do not have enough room to stop. You should Try to swerve left all the way across the left side of the highway, and drive off the paved surface of the highway to your left. Then try to stop. Try to swerve left across the oncoming lane, and bring your vehicle to a stop on the left shoulder of the highway. Stay on your side of the highway and try to stop. Honk your horn to warn the stopped vehicles. Try to press the right side of your vehicle against the guardrail to help you stop.
Answer
The safe option should be; stay on your side of the highway and try to stop
Explanation
It will be safe to stay on your side instead of trying to change into the other lane which is not your side and has traffic. Accidents can be caused by trying to swerve left all the way across the left side of the highway to your left. Just stay on your side of the road and try to stop while honking your horn to indicate to the other vehicles ahead that you have also stopped. In doing so, the issue might be sorted quicker to prevent further blockage.
What you have to do if you discover that your side of the highway is blocked is to stay on your side of the highway and try to stop.
The reason you have to do thisThe reason is so that you do not cause any forms of blockades on the other side of the road.
You have to make sure that the other side of the road is free first before you can make an attempt to use it.
Read more on traffic regulations here:https://brainly.com/question/1071840
the act english test takes ______ minutes to complete
Answer:
The ACT English test takes 45 minutes to complete.
Explanation:
ACT (American College Testing) is an official exam used in the American scholar system. Students take this exam before starting the college and depending on the score they have, they will or will not be admitted at the particular college. The test itself consists of 5 parts: (1) English, (2) Mathematics, (3) Reading, (4) Writing and (5) Science. The whole test duration is 2 hours and 55 minutes (plus 40 minutes of Writing, which is optional).
Answer:
The ACT English test takes 45 minutes to complete.
Explanation:
Which landform represents a piece of land that is formed when a river splits before flowing into the ocean?
A Delta is a landform when a river spliting into smaller streams before flowing into the ocean. It is created with sediments carried by the river and is usually triangular in shape.
Answer:
delta
Explanation:
An economy is created by the interactions between which two groups of people? A. Politicians and teachers B. Entrepreneurs and economists C. Producers and consumers D. Business and social entrepreneurs Please select the best answer from the choices provided A B C D Mark this and return
Answer:
C. Producers and consumers
Explanation:
The term economy refers to production, distribution, trade, and consumption of goods and services. Economy is based on the interaction between producers and consumers, which we may consider to be the source of money in a country. Without these two groups of people, there can be no word about the economy. If a producer doesn't exist, there is no product, and if there is nothing to consume, there are no consumers or trade, which means that there is no source of income either.
Answer is C. Producers and consumers
Hope this helps!!
A necklace is formed by stringing 133 colored beads on a thin wire in the following order: red,orange,yellow,green,blue,indigo,violet; red,orange, green, blue, indigo, violet.If the pattern continues, what will the color of the 101st bead on the string?
The seven colors keep repeating in the same order.
Color: red orange yellow green blue indigo violet
Bead
Number: 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15 etc.
The violet beads are in positions 7,14,21...,70,...,that is multiples of 7.
If 101 beads were a multiple of 7, the 101st bead would be violet, but when 101 is divided by 7, the quotient would be 14 and a remainder of 3.
Since 14*7=98, the 98th bead completes the 14th cycle, and hence is violet.
The 99 starts the next cycle; is is red.
The 100th bead is Orange, and the 101st bead is yellow.
Answer: Yellow
which of the following is covered by the SAT subject tests?
A. Sociology
B. Civics
C. History
D. Psychology
The subject History is covered by the SAT subject tests. Thus, option C is correct.
What is ACT (American College Testing)?ACT (American College Testing) is an official exam used in the American scholar system. Students take this exam before starting the college and depending on the score they have, they will or will not be admitted at the particular college. The test itself consists of 5 parts: (1) English, (2) Mathematics, (3) Reading, (4) Writing and (5) Science. The whole test duration is 2 hours and 55 minutes (plus 40 minutes of Writing, which is optional).
ACT are the examples of Aptitude Tests. They are tests that evaluate the abilities to perform a task or the domain in a certain subject. Generally, these tests assess verbal, numerical or grammatical ability, but they can also evaluate other types of skills. They are generally used in academic or industrial admissions processes.
Therefore, option C is correct.
Learn more about Aptitude Tests on:
https://brainly.com/question/14482276
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Not really a Question but..
Good luck to everyone taking the SAT or PSAT (also ACT) this week (or soon) !!