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NARA [144]
2 years ago
12

ONLY ANSWER IF UR CORRECT PLZZ!

Mathematics
1 answer:
anyanavicka [17]2 years ago
8 0

Answer:

∠4 & ∠8

∠3 & ∠7

Step-by-step explanation:

When the transversal (the line that crosses the other 2) intersects through 2 lines, it forms 2 pairs of alternate interior angles.

The alternate interior angles are always located in the inner corners of the intersections and are on opposite ends of the transversal.

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
2 years ago
X-4y=7 -6x-3y=12 how do i solve by substitution​
Dafna1 [17]

Answer:

x = 15

y = 2

Step-by-step explanation:

X-4y=7 | ×6 |

-6x-3y=12 | ×1 |

6x - 24y = 42

-6x - 3y = 12

___________+

27y = 54

y = 54/27

y = 2

x - 4y = 7

x - 4(2) = 7

x - 8 = 7

x = 7 + 8

x = 15

3 0
3 years ago
Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o
mixer [17]
For 1 year, the house appreciates $4375 (3.5% of 125,000). Therefore after 10 years, $4375(10) = $43750. $125,000+ $43750 = $168,750.
6 0
2 years ago
Read 2 more answers
xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc
leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

4 0
3 years ago
What is the value of (2/3)-4
Angelina_Jolie [31]

Answer:

16/81

Step-by-step explanation:

as there is (-) sign so when we multiply even negative numbers it becomes positive

8 0
2 years ago
Read 2 more answers
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