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1 .If m∠SUT = 3x + 6 and m∠RUS = 5x – 4, find x

dolphi86 [110]

Answer:

1.If you are to check the figure you will find that it is a rectangles. You should know the properties of a rectangle.

we are goin to use the property: Each vertex of a rectangle has angle equal to 90 degrees
meaning since m∠SUT and m∠ RUS form the vertex when added they give 90°

3x+6+(5x-4)=90°

3x+5x+6°-4°=90°

8x+2°=90°

8x=90°-2°

8x=8°

$\frac{8x}{8} =\frac{88}{8} \\x=11$

2.m ∠SUT is donated by 3x+6

and now we know the value of x=11°

m∠SUT=3(11°)+6

m∠SUT=33°+6°

m∠SUT=39°

6 0

2 years ago

A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.

ahrayia [7]

The equation of constant of proportionality will be y = 2.5x.

Given A 2-column table with 3 rows. Column 1 has entries 2, 4, 5. Column 2 has entries 5, 10, 12.5.

Equation of two variables look like ax+by=c. It can be a linear equation,quadratic equation,cubic equation.

Equation from two points can be found out by putting the values of points in the formula given below:

$(y-y_{1})=(y_{2} -y_{1} /x_{2} -x_{1} )*(x-x_{1} )$ in which $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$ are the end points of the line.

Equation of constant proportionality looks like:

k=y/x

in which k is slope which is to be find out according to the same formula as we find in the equation of line.

Slope from (2,5),(4,10) is (10-5/4-2)

=5/2

=2.5

Put the value of k=2.5 in formula of slope.

2.5=y/x

2.5x=y

y=2.5x.

Hence the equation of constant of proportionality is y=2.5x.

Learn more about equation at brainly.com/question/2972832

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5 0

2 years ago

Eddie measured his aquarium using a small fish food box. the box has a base area of 6 inches and a height of 4 inches. Eddie fou

Novosadov [1.4K]

I accually dont know what this is

5 0

4 years ago

Read 2 more answers

50000+2019 solve me this question asap

HACTEHA [7]

Ay isn’t it just 52019

4 0

3 years ago

Read 2 more answers

b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and

rjkz [21]

Answer:

99% of confidence intervals for mean age of ICU patients

(53.8920 , 61.2079)

Step-by-step explanation:

Explanation:-

Given sample mean $x^{-} = 57.55$

Given standard error is determined by

S.E = $\frac{S.D}{\sqrt{n} }$

Given data standard error = 1.42

99% of confidence intervals for mean is determined by

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )$

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576$

$(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)$

$(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)$

(53.8920 , 61.2079)

Conclusion:-

99% of confidence intervals for mean is determined by

(53.8920 , 61.2079)

5 0

3 years ago