There is a mathematical formula which relates these quantities, given by:
Using this, we have:
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Answer:
(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}
3x-2x= 14+10
x=24
<h3>
Answer:</h3>
<u>It squares the amount you scaled it by.</u>
<h3>
Step-by-step explanation:</h3>
For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.
Now each side length would be double of what it once was.
But when you multiply the new lengths together, the area would be of 4 times more.
(Original Equation) 2 * 2 = 4
(Scale Factor of 2) 4 * 4 = 16
So when the scale factor is made, the area would be squared to the multiple that you scaled it by.
<em>***A square root is a number times itself.</em>
<em>(eg): 3 * 3 = </em><em>9</em>
<em> 15 * 15 = </em><em>225</em>
<em>9 and 225 would be the square root in these problems.</em>
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
The diagram has been attached
The total angle in a triangle is 180°
<CAD=45°
<ACD=90°
Therefore <ADB=45°
1. ∠ADB = 30° no
ADC = 90 - 45 = 45
∠BDC = 90 - 65 = 25
∠ADB = 45 - 25 = 20
2.△ABD ∼ △ACD no going
by law of sines
3.CD = 33.7 centimeters => yes
4.BD = 37.2 centimeters => yes
Answer:
Step-by-step explanation:
Let x represent the number of questions that Tim got right in the math test.
The number of questions that Tim got wrong in the math test is 10.
If the total number of questions on the math test is q, it means that
x + 10 = q
If he received 4 points for every correct answer and there was no penalty for wrong answers, it means that he received 0 point for a wrong answer. If
his score was 76 points, it means that
4x + 0 × 10 = 76
4x = 76
Therefore, the required equations are
x + 10 = q
4x = 76
