A | math4u.vsb.cz

2010015205

Level:

The measures of two interior angles of a triangle are

61^{\circ} 20^{'}

and

28^{\circ}

. What is the measure of the third interior angle?

90^{\circ} 40^{'}

33^{\circ} 20^{'}

145^{\circ} 20^{'}

147^{\circ} 40^{'}

2010015201

Level:

Interior angles of a triangle

A B C

are in the ratio

α : β : γ = 3 : 5 : 7

. Calculate the measures of these angles.

α = 36^{\circ}; β = 60^{\circ}; γ = 84^{\circ}

α = 30^{\circ}; β = 50^{\circ}; γ = 70^{\circ}

α = {16.5}^{\circ}; β = 30^{\circ}; γ = {133.5}^{\circ}

α = 84^{\circ}; β = 60^{\circ}; γ = 36^{\circ}

2010015002

Level:

K L M N

is a square. Determine the degree measure of the angle

N R S

if the measure of the angle

L S R

110^{\circ}

155^{\circ}

120^{\circ}

110^{\circ}

135^{\circ}

2010015001

Level:

The side lengths of the rectangle

A B C D

are in the ratio

A B : B C = 4 : 3

. Give the degree measure of the angle

A S B

. Round the result to two decimal places.

{106.26}^{\circ}

{73.74}^{\circ}

{104.26}^{\circ}

{75.74}^{\circ}

2010012704

Level:

Evaluate the following limit.

lim_{x \to 1} \frac{1 - x^{3}}{x^{2} + 3 x - 4}

- \frac{3}{5}

- 3

\frac{3}{5}

0

2010014604

Level:

Among the lines in the following list (slope-intercept form) identify a line perpendicular to the line

y = \frac{2}{3} x - 1.

y = - \frac{3}{2} x + 1

y = \frac{2}{3} x + 1

y = \frac{3}{2} x - 1

y = - \frac{1}{2} x + 1

2010014603

Level:

In the following list identify a line which is perpendicular to the line

2 x + 3 y - 7 = 0

\begin{aligned} x & = 2 t, \\ y & = - 11 + 3 t; t \in R \end{aligned}

\begin{aligned} x & = 1 + 3 t, \\ y & = 11 - 2 t; t \in R \end{aligned}

\begin{aligned} x & = 2 + t, \\ y & = 3 - t; t \in R \end{aligned}

\begin{aligned} x & = 2 t + 7, \\ y & = - 3 t + 1; t \in R \end{aligned}

2010014602

Level:

Find the normal vector of the following line.

p : \begin{aligned} x = & 1 + 4 t, \\ y = & - 3 - 2 t; t \in R \end{aligned}

(1; 2)

(4; - 2)

(1; - 3)

(- 2; 1)

2010014601

Level:

Find the normal vector of the line passing through the points

A = [1; 3]

and

B = [- 2; 5]

(2; 3)

(- 3; 2)

(3; - 2)

(2; - 3)

2010014506

Level:

The function

f

is given by the graph. Identify which of the following statements is true.

The function

f

is neither increasing nor decreasing.

The function

f

is decreasing.

The function

f

is decreasing in the interval

[- 4; 1]

The function

f

is increasing.

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