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marta [7]
3 years ago
11

Can I have some help on this question?

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.

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9 cm
OLEGan [10]

Answer:

∴ ∠BAD = sin^{-1}(0.2044) = 11.8°

Step-by-step explanation:

i) AD = 9 cm

ii) DC = 3 cm

iii) ∠BCD = 35°

iv) Since AB is parallel to DC and ∠ABD = 90°  then we can conclude that ∠BDC = 90°.

v) \frac{BD}{DC}  =  \frac{BD}{3\hspace{0.1cm}cm}  = tan(35) = 0.6128      ∴ BD  = 3 \times 0.6128 = 1.84 cm

vi) ∴ sin(∠ BAD ) = \frac{BD}{AD}      ⇒     sin(∠ BAD ) = \frac{1.84}{9} = 0.2044

     ∴ ∠BAD = sin^{-1}(0.2044) = 11.8°

7 0
4 years ago
Calculat the lengthof AC to 1 decimal place in the trapizium below
mixer [17]
Where's the trapezium?
5 0
3 years ago
Determine the values of X for which g(x) is defined ​
Olin [163]

this is a question from me to you not an answer sorry what class are you taking

3 0
3 years ago
A bowl contains 80 M&M candies if 15 of the candies are orange what fraction of the candies
Angelina_Jolie [31]
13/16 are not orange

15-80=65

65/80 candies are not orange
5 is a multiple of both numbers so divide 65 and 80 and you get 13/16
6 0
3 years ago
Solve the following system:
prisoha [69]

Answer:

Read explanation

Step-by-step explanation:

Use elimination

Add them all up

y = 1 ( everything else cancels )

-2x + 2(1) + z = 14

3x - 2(1) + z = -5

-x +(1) - 2z = -8

simplify

-2x + z = 12

3x + z = -3

-x -2z = -9

U can't use elimation because it would turn into 0 = 0

change last equation

x + 2z = 9

x = -2z + 9

plug that in

-2(-2z+9) + z = 12

3(-2z+9) + z = -3

-(-2z+9) - 2z = -9

4z - 18 = 12

-6z + 27 + z =-3

2z - 9 - 2z = -9

simplify

4z = 30

-5z = -30

0 = 0

z = 6

y = 1

x = -3

3 0
3 years ago
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