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RSB [31]
2 years ago
11

Please I'm GIVING 40 POINTS FOR REAL ANSWER

Mathematics
2 answers:
MakcuM [25]2 years ago
5 0

Answer:

I hope its right...

Step-by-step explanation:

Part A)

A + B + C = 180     and now replace with the algebraic expressions given for each angle:

2(x + 15) + 3 x + 10 + 5 x = 180n     eliminate parenthesis     2 x + 30 + 3 x + 10 + 5 x = 180

Part B)

2 (x+15) + 3x + 10+ 5x = 180        2x + 30 + 3x + 10 +5x = 180           10 +40 = 180

- 40 -40            10x divided by 10 = 140 divided by 10             x= 14

Part C)

A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

Charra [1.4K]2 years ago
3 0

Answer:

x = 14

< A = 58 degrees

< B = 52 degrees

< C = 70 degrees

Step-by-step explanation:

Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:

<A + <B + <C = 180

and now replace with the algebraic expressions given for each angle:

2(x + 15) + 3 x + 10 + 5 x = 180

eliminate parenthesis

2 x + 30 + 3 x + 10 + 5 x = 180

combine like terms

10 x + 40 = 180

subtract 40 from both sides

10 x = 140

divide both sides y 10 to isolate x

x = 14

Now that we know x, we can calculate each of the angles using the fiven expressions:

< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

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Answer: X=1


Step-by-step explanation: 5x+8-3x=10

Combine like terms; 5x + (-3x) = 2x

Rewrite; 2x+8=10

Get “x” alone; 2x+8=10

-8. -8

Simply divsion; 2x=2

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6 0
3 years ago
5. ALGEBRA Refer to the figure in
mamaluj [8]

The value of x that satisfies all the expressions of the system of linear equations is 20.

<h3 /><h3>Procedure - Determination of a variable associated to a pair of corresponding angles</h3>

According to the figure, angles 1 and 5 are <em>corresponding</em> angles between two <em>parallel</em> lines, therefore we have the following equivalence:

4\cdot x + 40 = 120 (1)

After some algebraic handling we find the value of x:

4\cdot x = 80

x = 20

The value of x that satisfies all the expressions of the system of linear equations is 20. \blacksquare

<h3>Remarks</h3>

There is a missing figure for the statement, we proceed to include it below after some research.

To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203

5 0
2 years ago
Help me with this please!!
valina [46]
<h2><u>Given:</u><u>-</u></h2>

  • Points C = (-7,2) → \sf{(X_1,Y_1)}
  • D = (3,12) → \sf{(X_2,Y_2)}

<h2><u>To </u><u>Find</u><u>:</u><u>-</u></h2>

  • The Midpoint of CD.

<h2><u>Required</u><u> </u><u>Response</u><u>:</u><u>-</u></h2>

Let,

Midpoint of CD be (x,y).

WKT,

\boxed{\sf{(x,y) = \frac{X_1+X_2}{2},\frac{Y_1+Y_2}{2}}}

→\;{\sf{\frac{-7+3}{2},\frac{2+12}{2}}}

→\;{\sf{\frac{-4}{2},\frac{14}{2}}}

→\;{\sf{-2,7}}

The Midpoint of CD ◕➜ \Large{\red{\mathfrak{(-2,7)}}}

Let,

The centre be O

Radius = CO & OD

Here, C = (-7,2) → \sf{(X_1,Y_1)}

O = (-2,7) → \sf{(X_2,Y_2)}

\boxed{\sf{Distance = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}}}

→\;{\sf{\sqrt{(-2+7)²+(7-2)²}}}

→\;{\sf{\sqrt{5²+5²}}}

→\;{\sf{\sqrt{25+25}}}

→\;{\sf{\sqrt{50}}}

→\;{\sf{5√2 (or) 7.07}}

Radius of Circle ◕➜ \Large{\red{\mathfrak{7.07}}}

<h2>Option D.</h2>

Hope It Helps You ✌️

3 0
3 years ago
Mike says he can find a fraction equivalent tro 1/10, even though 1/10 is a unit fraction. is mike correct? explain
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No because equivalent is like 5/10 so it's not right
6 0
3 years ago
Read 2 more answers
Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85
Lubov Fominskaja [6]

Answer:

The p value for this test is given p_v = 0.1071

Since the p value is higher than the significance level given of \alpha=0.05 we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

Step-by-step explanation:

We define the proportion of interest as p who represent the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workers

And we want to anaylze the following system of hypothesis:

Null hypothesis: p \leq 0.85

Alternative hypothesis: p >0.85

And the statistic for this test is given by:

z =\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}

The p value can be calculated with this formula:

p_v = P(z>z_{calc})

And the p value for this test is given p_v = 0.1071

Since the p value is higher than the significance level given of \alpha=0.05 we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

4 0
2 years ago
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