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.
Range is Maximum-Minimum
Or in this case,
75 - 13 = 62
The range is 62.
9:6 is the ratio of tickets he has to the tickets he has used.
Use the power, product, and chain rules:
• product rule
• power rule for the first term, and power/chain rules for the second term:
• power rule
Now simplify.
You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.
On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify
Differentiate both sides and you end up with the same derivative:
Step-by-step explanation:
-26a-19-35=-84
-26a-19+(19)-35=-84+(19)
-26a-35=-65
-26a-35+(35)=-65+(35)
-26a=-30
-26a/26=-30/26
