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muminat
3 years ago
12

In the diagram above, Z1 = 40°. Find the measure of Z2. Z2 = [?]°

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

Answer:

40 = <2

Step-by-step explanation:

<1 and  <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<1 = <2

40 = <2

lapo4ka [179]3 years ago
6 0
Angle 2 is 40° according to the corresponding angles theorem
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To multiply rational expressions you just multiply tops and multiply the bottoms so
5/2x+1  *  6/x = 30/2x^2+x
6 0
4 years ago
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\[f(x)=\sqrt{x ^4-16x ^{2}}\]
marusya05 [52]
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
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4 0
3 years ago
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing
Veronika [31]

Answer:

(13/10)H

got it on khan academy brainliest pls thx uwu

Remember that 30% in fraction form is 33/100

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

(30/100)H

And since it would add that to the current total we can right the current total as:

(100/100)H

So our equation would be

=(30/100)H + (100/100)H

=(130/100)H

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5 0
4 years ago
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Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. Name the mathematical
Galina-37 [17]

Answer:

Problem 1:

5 · (−4/3) · (2/5)

= (−4/3) · 5 · (2/5)   <em>Conmutative Property of Multiplication</em>

= (−4/3) · (5 · (2/5))  <em>Associative Property of Multiplication</em>

= (−4/3) · (2/1) = −8/3 = −2*2/3<em> Multiplied fractions and extracted common factor</em>

Problem 2:

17 + 29 + 3+ 1

= 17 + 3 + 29 + 1  <em>Conmutative Property of Addition</em>

= (17 + 3) + (29 + 1)  <em>Associative Property of Addition</em>

= 20 + 30 Added groups

= 50 Added terms

Step-by-step explanation:

<u>For the Problem 1:</u>

In the first step, Hilda applied the <em>Conmutative Property of Multiplication</em>, because she changed the order of the numbers in the product

In the second step, she applied the <em>Associative Property of Multiplication, </em>because she agrouped the product of 5 and<em> </em>2/5 to perform it sepparately

In the third step, she calculated<em> the product of the fractions</em> -4/3 and 2/1, then she extracted 2 as a <em>common factor</em> to express the fraction as -2*2/3

<u>For the Problem 2:</u>

In the first step, Hilda applied the <em>Conmutative Property of Addition, </em>because she changed the order of the numbers in the sum

In the second step, she applied the<em> Associative Property of Addition, </em>because she associated the addition of 17 and 3 and the addition of 29 and 1, to calculate them in groups.

<em />

4 0
3 years ago
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PLEASE ANSWER THIS QUESTION
AleksAgata [21]
The answer is 135 cubes.
3 0
3 years ago
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