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2 years ago

Help please im pretty sure this is called angle sum theory but I could be wrong

Mathematics

2 answers:

DENIUS [597]2 years ago

6 0

y = 25

Step-by-step explanation:

=> 115 = y + 90 {exterior angle of triangle is equal to the sum of its opposite two interior angles}

=> 115 = y + 90 

=> 115-90 =y

=> 115 = y + 90

=> 115-90 =y

=> y = 25

Alexxandr [17]2 years ago

6 0

Answer:

x= 180°-115°

= 65° ( adjacent angles in a straight line)

y= 180°-90°-65°

= 25° ( angle sum of a triangle)

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-3(u+2)=5u-1+5(2u+1)

Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3(u + 2) = 5u - 1 + 5(2u + 1)

Step 2: Solve for u

Distribute: -3u - 6 = 5u - 1 + 10u + 5
Combine like terms: -3u - 6 = 15u + 4
Add 3u to both sides: -6 = 18u + 4
Subtract 4 on both sides: -10 = 18u
Divide 18 on both sides: -10/18 = u
Simplify: -5/9 = u
Rewrite: u = -5/9

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Substitute in u: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
Multiply: -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
Add: -3(13/9) = -25/9 - 1 + 5(-1/9)
Multiply: -13/3 = -25/9 - 1 - 5/9
Subtract: -13/3 = -34/9 - 5/9
Subtract: -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

3 0

3 years ago

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How much will the guitar be worth in 10 years?

Contact [7]

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

$V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487$ . Hope this helps!

8 0

3 years ago

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(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

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3 years ago

Please answer correctly

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Month on x-axis and Log(mice) on y

5 0

3 years ago

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Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next clu

REY [17]

Answer:

Both will be at the same page after 6.5 days and the page number will be 180.

Step-by-step explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x = $\frac{26}{4}$

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.

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3 years ago