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2 years ago

Find m<2 See picture for full problem. Please and thank you!

Mathematics

1 answer:

aev [14]2 years ago

6 0

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

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PLEASE HELP and Show your work please!!

bazaltina [42]

9514 1404 393

Answer:

2) 3 pages per hour

3) 4/29 km per minute

Step-by-step explanation:

Division by a fraction is the same as multiplication by the inverse of that fraction.

$\dfrac{\ \dfrac{9}{4}\ }{\dfrac{3}{4}}=\dfrac{9}{4}\times\dfrac{4}{3}=\dfrac{36}{12}=\boxed{3\text{ pages per hour}}$

$\dfrac{2\text{ km}}{\dfrac{29}{2}\text{ min}}=2\times\dfrac{2}{29}\text{ km/min}=\boxed{\dfrac{4}{29}\text{ km/min}}$

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2 years ago

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guajiro [1.7K]

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2 years ago

astronomers measure large distances in light years one light year is the distance that light can travel in one year or approxima

sveticcg [70]

What you can do in this case is the following rule of three to find the result:
1 light year ---> 5.88 * 10 ^ 12 miles
3.2 * 10 ^ 2 light year ---> x
Clearing x we have:
x = ((3.2 * 10 ^ 2) / (1)) * (5.88 * 10 ^ 12)
x = 1.88 * 10 ^ 15 miles
answer:
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3 years ago

A recent poll of 700 people who work indoors found that 278 smoke. if the researchers want to be 98% confident of their results

Mice21 [21]

Answer:

We are given:

$\hat{p}=\frac{278}{700}=0.397$

$z_{\frac{0.02}{2}}=2.33$ is the critical value at 0.02 significance level

$E=0.035$ is the margin of error

Therefore, the required sample size is:

$n=\hat{p}(1-\hat{p}) \left(\frac{z_{\frac{0.02}{2}} }{E} \right )^{2}$

$=0.397(1-0.397) \left( \frac{2.33}{0.035} \right)^2$

$=0.239391 \times 4431.755102$

$=1060.922286 \approx 1061$

Therefore, the required sample size n = 1061

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3 years ago

Chose parameters h and k such that the system has a) a unique solution, b) many solutions, and c) no solution. 31+3x2= 4 2x1+kx2

Snezhnost [94]

Answer

a) k=7, h=9, the unique solution of the system is $(x_1,x_2)=(1,1)$

b) If k=6 and h=8 the system has infinite solutions.

c)If k=6 and h=9 the system has no solutions.

Step-by-step explanation:

I am assuming that the system is x1+3x2=4; 2x1+kx2=h

The augmented matrix of the system is $\left[\begin{array}{ccc}1&3&4\\2&k&h\end{array}\right]$ . If two times the row 1 is subtracted to row 2 we get the following matrix $\left[\begin{array}{ccc}1&3&4\\0&k-6&h-8\end{array}\right]$ .

Then

a) If k=7 and h=9, the unique solution of the system is $x_2=\frac{9-8}{7-6}=\frac{1}{1}=1$ and solviong for $x_1$ ,

$x_1+3x_2=4\\\\x_1=4-3(1)=1$

Then the solution is $(x_1,x_2)=(1,1)$

b) If k=6 and h=8 the system has infinite solutions because the echelon form of the matrix has a free variable.

c)If k=6 and h=9 the system has no solutions because the last equation of the system of the echelon form of the matrix is $0x_2=1$

8 0

3 years ago