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2 years ago

I don’t understand how I would solve this?

Mathematics

1 answer:

liberstina [14]2 years ago

7 0

Answer:

1st: 116°

2nd: 64°

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can make the first supplementary angle be represented by: 2x - 12 and the second supp. angle be represented by x.

Make both of these expressions add up to 180.

(2x - 12) + (x) = 180

Combine like terms.

3x - 12 = 180

Add 12 to both sides.

3x = 192

Divide both sides by 3.

x = 64

Substitute 64 for x into the first supp. angle's expression.

2(64) - 12 = 116

The first supp. angle is 116 degrees and the second is 64 degrees.

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Find the sum of the series and show your process for finding each term leading to the final sum.

Crazy boy [7]

ANSWER

$\sum_{k=3}^5( - 2k + 5) = - 9$

EXPLANATION

The given series is

$\sum_{k=3}^5( - 2k + 5)$

This series is finite.

The expanded form is

$\sum_{k=3}^5( - 2k + 5) = ( - 2 \times 3 + 5) + ( - 2 \times 4 + 5) + ( - 2 \times 5 + 5)$

This simplifies to

$\sum_{k=3}^5( - 2k + 5) = ( - 6 + 5) + ( - 8+ 5) + ( - 10+ 5)$

$\sum_{k=3}^5( - 2k + 5) = ( - 1) + ( - 3) + ( - 5)$

$\sum_{k=3}^5( - 2k + 5) = - 9$

5 0

2 years ago

What is the inverse of the function f(x) = 4x + 8?

morpeh [17]

Answer:

(A) h(x) = 1/4x -2

Step-by-step explanation:

Given: f(x)=4x+8

Rewrite with y: y=4x+8

Switch x and y: x=4y+8

Solve for y: x-8=4y

(x-8)/4=y

1/4x-2=y

y=1/4x-2

This means that h(x) = 1/4x -2 is the correct answer

8 0

3 years ago

Find the value of x. Round to the nearest tenth.<br> I’m going to Mcshoot myself pls help

siniylev [52]

Answer:

x = 10.8

Explanation:

$\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}$

using cosine rule:

$\rightarrow \sf cos(26)= \dfrac{x}{12}$

$\rightarrow \sf x = cos(26) *12$

$\rightarrow \sf x =10.8$

7 0

2 years ago

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The ordered pair D (-4,-2) has been plotted for you. If you reflected coordinate d over the x-axis, which point from part A woul

Serjik [45]

A= (-4,2)

The x value (-4) stays the same when reflected over the x-axis, so only the y-value gets reflected and therefore changed.
The resultant coordinate is (-4,2)

6 0

3 years ago

What is the measure of DE?

tatuchka [14]

Answer:

Step-by-step explanation:

Alright, lets get started.

The two chords are intersection each other at point B.

$DBE=ABC$

Both are opposite angles that is 39 degrees.

Angle ABC forms the arc AC which is given 41 degree.

The arc DE will be same length as arc AC because angle ABC and angle DBE are same that is 39 degrees.

So, arc DE = 41

So, the answer is DE = 41 degrees .... Answer : option D

Hope it will help :)

5 0

2 years ago

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