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3 years ago

100 points!!! i will award brainliest!! Lines AB, and CD are straight lines. Find x and y

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

8 0

Answer:

x = 18.5.........y= 37

Step-by-step explanation:

counting for x

<O + 4x+90 = 180

16 +4x +90 = 180

106 +4x = 180

4x =74

x =18.5

and now going to count for y

16 +90 +2y= 180

106+2y=180

2y = 74

y= 37

~batmans wife dun dun dun......

Ket [755]3 years ago

3 0

<O = 16 degrees vertical angles are equal

<O + 4x+90 = 180 DC is a straight line

16 +4x +90 = 180

106 +4x = 180

4x =74

x =18.5

16 +90 +2y= 180 DC is a straight line

106+2y=180

2y = 74

y= 37

Answer : y=37

x=18.5

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3 years ago

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Aven

Advocard [28]

Answer:

72°

Step-by-step explanation:

From the information given:

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.

However, side FG and EH are parallel.

∠G = 108°

From the property of parallel lines :

since FG || EH

Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)

The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.

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3 0

4 years ago

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

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Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

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[Area] Subtract: $\displaystyle A = \frac{8}{21}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

3 years ago

I need this problem to be simplified

svetoff [14.1K]

The correct answer would be 2y^5

4 0

3 years ago

Read 2 more answers

Help please

Svetlanka [38]

Well first of you need to know that on a straight line there should be 180 degrees. Also a triangle has 180 degrees in total. Now if this is to scale then you can always measure the angle BCA and explain how you took that away from 180 to get whatever. Assuming otherwise i don't know how one can actually complete this question without any measurements, at least one and it would be something anyone can complete. Even if you didn't have anything it should be a equilateral triangle or isosceles. That way you can work out the inside sides than the exterior. But since it's not, I'm not to sure.

5 0

4 years ago