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alexdok [17]
2 years ago
7

What the answer for Q 1 and 2

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

Answer:

yung 70

Step-by-step explanation:

i hope its help

carry on learning

MariettaO [177]2 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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Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

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Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

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To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
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(c) If we add both equations (1) and (2), we get

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