Answer:
Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. We use the symbol ≅ to show congruence. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match.Step-by-step explanation:
It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.
<h3>What is Ratio and Proportion ?</h3>
When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .
It is given that
Jeremy is reading a 60-page book.
The time taken to read 20 pages is 30 minutes
Then it can be written as 20:30 = 2:3
The rate of reading is same so To read the rest 40 pages is given by
40:x
40: x = 2:3
40*3/2 = x
x = 60 minutes
Therefore it will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.
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As there are 81 tiles total, that makes your area 81. Being a square, that makes your area equation A=s^2. As you need a side, this makes your equation s=√A. Plugging in 81 as A, we get s=√81=9, so an edge has 9 tiles.
Plug in 3 for f(x)
f(3)=(3)²+7
f(3)=9+7
f(3)=16
Hoped this helped!
Answer:
y = 52 degrees
x = 7 degrees
Step-by-step explanation:
Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.
[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]
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So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees
Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:
52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}
52 + 52 = 14x + 6 --> Now we should simplify:
104 = 14x + 6
98 = 14x
x = 7 degrees