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alexdok [17]
3 years ago
7

What the answer for Q 1 and 2

Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer:

yung 70

Step-by-step explanation:

i hope its help

carry on learning

MariettaO [177]3 years ago
3 0

<u>Figure</u><u> </u><u>1</u><u>.</u>

we know that, <u>sum of all interior angles</u> of a triangle is 180°

so, let's assume the last angle be x

now, we now that,

=》

x + 60 + 60 = 180

=》

x + 120  = 180

x = 180 - 120

=》

x = 60

value of missing angle is 60°, so each angle of the triangle measures 60° , hence the given triangle is an <u>equilateral</u><u> </u><u>triangle</u> ,

hence, each side measures same,

that's why BC = 9 units

<u>Figure 2</u>

in the given figure two sides of the triangle is equal, so their <u>opposite angles will be equal</u>,

let each angle be n

we know, sum of all interior angles of a triangle measures 180°

So,

=》

n + n + 70 = 180

=》

2n + 70 = 180

=》

2n = 180 - 70

=》

2n = 110

=》

n =  \frac{110}{2}

=》

n = 55

hence, value of Angle RST = n = 55°

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There are 4 aces and 4 kings in a standard deck of playing cards. you pick one random card at random. What is the probability of
hichkok12 [17]

Answer:2/3

Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have

4

×

13

=

52

.

There are 8 cards that fit the question (4 each of aces and kings).

And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52

which we can simplify:

8/52=2/13

8 0
2 years ago
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2
Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

(a) (15, 30) and (20, 40)

m = \frac{40 -30}{20- 15}

m = \frac{10}{5}

m =2.00

(b) (12, 32) and (18, 48)

m = \frac{48 -32}{18- 12}

m = \frac{16}{6}

m = 2.67

(c) (27, 12) and (72, 32)

m = \frac{32-12}{72- 27}

m = \frac{20}{45}

m = 0.44

(d) (45, 15) and (60, 20)

m = \frac{20-15}{60- 45}

m = \frac{5}{15}

m = 0.33

(e) (27, 2) and (243, 18)

m = \frac{18-2}{243- 27}

m = \frac{16}{216}

m = 0.07

(f) (18, 63) and (24, 84)

m = \frac{84-63}{24- 18}

m = \frac{21}{6}

m = 3.50

(g) (63, 9) and (84, 12)

m = \frac{12 -9}{84- 63}

m = \frac{3}{21}

m = 0.14

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

6 0
3 years ago
The product of two consecutive positive<br> integers is 2550. Find the smaller number.
Paha777 [63]

Answer:

50

Step-by-step explanation:

n (n + 1) = 2550

n^2 + n = 2550

n = 50

n + 1 = 51

8 0
3 years ago
What is the value of the expression below? <br>(49³)^1/6<br>A. 3.5<br>B. 7<br>C. 49<br>D. 24.5
Lunna [17]
The answer is 7.

Hope this helps.
7 0
3 years ago
If a linear equation is written in the form y=1/2x-2 , which method could be used to graph the line represented by the equation?
sergey [27]

Answer:D

Step-by-step explanation: the equation is written is slope- intersect form were -2 is the y intersect. the coordinate of the y intersect is (0,-2). the number in front of the x is the slope which is 1/2. so the answer is D.

6 0
3 years ago
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