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viva [34]
3 years ago
15

In the following diagram HI || JK.What is the measure of x?​

Mathematics
2 answers:
siniylev [52]3 years ago
8 0

Answer:

x = 64

Step-by-step explanation:

Given HI and JK are parallel lines, then

∠HIA = ∠JKI = 60° ( corresponding angles )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in ΔHIA from 180

x = 180 - (56 + 60) = 180 - 116 = 64

otez555 [7]3 years ago
7 0

Answer:

64

Step-by-step explanation:

60 + 56 + x = 180

116 + x = 180

x = 180 - 116

x = 64

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Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa
-Dominant- [34]

Answer:

  - The diagram bar is attached.

  - Addition equation:  7+7+7=21

  - Multiplication equation: (3)(7)=21

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

7+7+7=21

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

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The equations are related. Each one shows 3 groups of 7.

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3.25 × 32 is 104

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