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2 years ago

This question is really confusing me, it talks about unknown angle problems with Algebra.

Mathematics

2 answers:

ankoles [38]2 years ago

7 0

Answer:

x=20

Step-by-step explanation:

The two angles are complementary angles. Complementary angles add to 90 degrees

x + 3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

Sever21 [200]2 years ago

3 0

Answer:

Step-by-step explanation:

The two given and marked angles add up to 90.

A = x

B = 3x + 10

A + B = 90 Substitute for A and B. A and B are just letters I gave things.

x + 3x + 10 = 90 Combine the left

4x + 10 = 90 Subtract 10 from both sides.

4x +10-10 = 90-10 Combine

4x = 80 Divide by 4

4x/4=80/4

x = 20

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Can somebody please help me

erik [133]

Answer:

d=3 and e=-1

Step-by-step explanation:

d+e=2

d=2-e-----(1)

d-e=4-----(2)

substituting (1) in (2)

2-e-e=4

-2e=2

e=-1-----(3)

substituting (3) in (1)

d=2-(-1)

d=3

6 0

2 years ago

Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

$\bf 6rsin(\theta)\iff 2\cdot r\cdot \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}
\\\\\\
\textit{now, bear in mind we're just borrowing from zero, 0}
\\\\
\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}$

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
\textit{so-called "completing the square"}
\\\\\\\
[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)
\\\\\\
r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)$

3 0

2 years ago

An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.

Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder 1 2 3 4

Observed visits; $o_i$ 60 90 92 58

data sample = 300

Expected $e_i$ = 300 / 4 = 75

the x² test statistic = ?

$X^2_{stat$ = ∑[ ( $o_i$ - $e_i$ )²/ $e_i$ ]

$X^2_{stat$ = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

$X^2_{stat$ = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

$X^2_{stat$ = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0

2 years ago

Find the ordered pairs for x and y intercepts of the equation 3x - 2y =18

My name is Ann [436]

   3x - 2y = 18
Wherever the line crosses the
x-axis, y=0.    3x        = 18
   x = 6
The x-intercept is (6, 0) .

   3x - 2y = 18
Wherever the line crosses the
y-axis, x=0.    - 2y = 18
   y = -9
The y-intercept is    (0, -9) .

8 0

2 years ago

Read 2 more answers

Mark spent 1/3 of an hour reading his Bible. How many minutes did he read his Bible?

madam [21]

Answer:

20 minutes

Step-by-step explanation:

60/3=20

hope this helps :)

5 0

3 years ago