Can somebody please help me with this
1 answer:
<em>∠PYG = 137°</em>
Step-by-step explanation:
We know that a straight line is equal to 180°, so by looking at the image we can tell that if we added both of these angles together they would be equal to the straight line.
We can make an equation by adding these two angles together and setting them equal to 180.
We can combine like terms.
Subtract 244 from both sides.
Divide.
<em><u>p = -8</u></em>
Now that we have found what p is equal to, we can plug it in to find the measure of ∠PYG.
<em><u>= 137</u></em>
~
If you wanted to double check this answer, we can plug in -8 for p on the other side and make sure both would be equal to 180.
Like this...
= 43
And we know that...
137 + 43 = 180
~
So...
<u><em>∠PYG = 137°</em></u>
<u><em>∠HYG = 43°</em></u>
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Answer:
<u>384 cm²</u>
Step-by-step explanation:
Property of rhombus :
- Diagonals of rhombus bisect each other and are perpendicular to each other
Given :
- Rhombus ABCD and its diagonals AC and BD bisect each other at O
- AC ⊥ BD
- AB = BC = CD = DA = 20 cm
- AC = 24 cm
Solving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
- 2 × 1/2 × OB × AC
- 24 × OB
- 24 × √AB² - AO²
- 24 × √20² - (AC/2)²
- 24 × √400 - 144
- 24 × √256
- 24 × 16
- <u>384 cm²</u>
We have to draw the model for 42 divide 7 . In order to draw the model we use below steps.
- Draw 7 boxes to represent 7 groups.
- Assume 42 as the number which represents the total of these 7 groups.
- Put a question mark at the first box.
Attached is the model to represents 42 divide 7 .
In the question mark we should put 6. Hence, when we add 6 to 7 times that will be equal to 42.
