1.
Answer:
<B ≅ <F
<C ≅ <G
<D ≅ <H
<A ≅ <E
Explanation:
Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.
You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).
2.
Answer: x = 8 and y = 19
Explanation:
Triangle MLN ≅Triangle SRT
Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.
<M ≅ <S
<S= 93 (Given)
<M=93
<N=63 (Given)
Line segment ML ≅ Line segment SR
Line segment ML = 43
Line segment SR = 3x + y
Now, we need to find the values of x and y.
43 = 3x + y
<M+<N+<L=180 (Interior angles measure of a triangle is always 180)
93+63+z=180
156+z=180
z= 24
24 is the measure of <R.
<R=3x
24=3x
<u><em>x=8</em></u>
Now if we plug in the 8, the value of x, into our equation above,
43=3x+y
43=3(8)+y
43=24+y
43-24=y
<u><em>19=y</em></u>
3.
Answer:
<K ≅ <M
<J ≅ <N
<Q ≅ <P
<L≅ <L
Explanation:
Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.
4.
Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.
Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.
-- There are an infinite number of different numbers between 2.65 and 2.66 .
To create one, just write ' 2.65 ' and add any quantity of any digits you want
after the ' 5 '.
-- If you want the number that's exactly in the middle between them, then
that's just the <em><u>average</u></em> of the two numbers.
The average of any two numbers is (1/2) x (the sum of the numbers).
(1/2) (2.65 + 2.66) = (1/2) (5.31) = <em>2.655</em> .
Answer:
Perimeter = 46.6 m
Area = 78.36 m²
Step-by-step explanation:
Perimeter is just the outsides, so add 3.7 + 12.3 + 4.5 +11 AND the sides you aren't given. To find them, you do 11-3.7 = 7.3 and 12.3-4.5 = 7.8. So you add 3.7 + 12.3 + 4.5 + 11 + 7.3 + 7.8 = 46.6
Area is the inside, so you multiply length by width. You can split it different ways, but I multiplied by 3.7*12.3 first, giving 45.51. Now to find the area of the other box, you need to subtract 11 by 3.7, which we saw was 7.3. Now we can multiply 7.3 by 4.5, which is 32.85. Then you add 45.51 and 32.85 to get 78.36.
She added 4 inches to the width. Therefore, to ensure equivalence, she would add 4 to the length. You get 12in.
