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2 years ago

Select the pair of perpendicular segments from the figure below

Mathematics

1 answer:

GarryVolchara [31]2 years ago

6 0

Hskzozh8 i nekaoxhh akns skaldic

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Find the value of x from this adjoining figure

Fiesta28 [93]

Answer:

$x=15^\circ$

Step-by-step explanation:

Please refer to the attached figure for labeling of given diagram:

We are given the following angles:

$\angle AOC = 3x^\circ\\\angle BOD = 2x^\circ\\\angle EOF = 7x^\circ$

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.

Using property of vertically opposite angles:

$\angle EOF = \angle AOB = 7x^\circ$

Line CD is a straight line, so $\angle COD = 180^\circ$

Also,

$\angle COD = \angle COA+\angle AOB+\angle BOD = 180^\circ\\\Rightarrow 3x + 7x + 2x=180^\circ\\\Rightarrow 12x =180^\circ\\\Rightarrow x = \dfrac{180}{12}\\\Rightarrow x = 15^\circ$

Hence, <em>answer</em> is $x = 15^\circ$ .

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2 years ago

A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6)?

BARSIC [14]

If the sequence f is defined as

$\mathsf{f(n+1)=f(n)-8}$

then

$\mathsf{f(n+1)-f(n)=-8}$

As you can see above, the difference between two consecutive terms gives us a constant.

So f is actually an arithmetic progression (AP), and it has (– 8) as its common difference:

$\mathsf{f(n)=f(1)+(n-1)\cdot d}\\\\ \textsf{where }\mathsf{d=-8.}$

• If f(1) = 100, then

$\mathsf{f(6)=f(1)+(6-1)\cdot (-8)}\\\\ \mathsf{f(6)=100+5\cdot (-8)}\\\\ \mathsf{f(6)=100-40}\\\\ \boxed{\begin{array}{l} \mathsf{f(6)=60} \end{array}}\qquad\checkmark$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2190444

I hope this helps. :-)

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2 years ago

HELPPP MEEEEEEEE PLSSSS!!!!!

masya89 [10]

The answer is definitely not the one you chose or were planning to choose

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2 years ago

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A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

Mnenie [13.5K]

Answer:

3 inches up per foot across

Step-by-step explanation:

rate of change = difference of y / difference of x

R = (18 - 12) / ( 6-4) = 6 / 2 = 3 inch / foot

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2 years ago

Read 2 more answers

I don't know how do do these problems

zubka84 [21]

$\bf \begin{array}{ll} term&\stackrel{a(n-1)-3}{value}\\ \cline{1-2} a(1)&-6\\ a(2)&a(2-1)-3\\ &a(1)-3\\ &-6-3\\ &-9 \blacktriangleleft\\ a(3)&a(3-1)-3\\ &a(2)-3\\ &-9-3\\ &-12 \blacktriangleleft\\ a(4)&a(4-1)-3\\ &a(3)-3\\ &-15 \blacktriangleleft\\ a(5)&a(5-1)-3\\ &a(4)-3\\ &-18 \blacktriangleleft \end{array}$

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2 years ago

Select the pair of perpendicular segments from the figure below ​

Select the pair of perpendicular segments from the figure below