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3 years ago

Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Mathematics

1 answer:

Mamont248 [21]3 years ago

7 0

well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent. Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x = x + 4, we'd be golden

$2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}$

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romanna [79]

thanks 4 the points lolllll

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3 years ago

Read 2 more answers

Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu . assum

attashe74 [19]

To solve for the confidence interval for the population mean mu, we can use the formula:

Confidence interval = x ± z * s / sqrt (n)

where x is the sample mean, s is the standard deviation, and n is the sample size

At 95% confidence level, the value of z is equivalent to:

z = 1.96

Therefore substituting the given values into the equation:

Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)

Confidence interval = 3 ± 1.59

Confidence interval = 1.41, 4.59

Therefore the population mean mu has an approximate range or confidence interval from 1.41 kg to 4.59 kg.

6 0

3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!!

Alecsey [184]

Answer:

The y-intercept is (0,1). The x values at the horiz. intercepts are:

{ (-3+√5)/2, (-3-√5)/2 }. Graph is that of a parabola that opens down.

Step-by-step explanation:

It'd be helpful to rewrite f(x) = 3-x2+3x-2 with the powers of x in descending order and using " ^ " to denote exponentiation:

f(x) = -x^2 + 3x -2 + 3, or

f(x) = -x^2 + 3x + 1

y-intercept: let x = 0. Then f(0) = 1. The y-intercept is (0,1)

x-intercepts: let y = f(x) = 0 = -x^2 + 3x + 1. Let's use the quadratic formula with a = -1, b = 3 and c = 1 to determine the roots of this polynomial. The discriminant, b^2-4ac, is 9-4(1)(1), or 5.

Thus, there are two real, unequal roots. They are:

-3 plus or minus √5

x = ---------------------------------

or { (-3+√5)/2, (-3-√5)/2 }

These are your two horizontal intercepts, where the function is zero.

Because the coefficient -1 of the x^2 term is negative, the parabola representing this function opens down.

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3 years ago

20% of 55 is what number

Vitek1552 [10]

20% of 55 is 11

Workingout: 20%/100% = 0.2
0.2 x 55 = 11

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4 years ago

Which system of inequalities is shown? A. Y>x y<2 b. Y 2 D. Y>x y>2

AURORKA [14]

Answer: y > x, y > 2

The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.

The other inequality is y > x because we shade above the dashed boundary line y = x, which is that slanted dashed line.

Combining the two regions of y > 2 and y > x leads to what is shown.

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2 years ago