<h2>1. Both triangles have the same shape and size</h2><h3>Both triangles have the same angles and if one side is the same size then both of them are EQUAL.</h3><h3 /><h2>2. Line FG has a length of 5 units</h2><h3>Both triangles are equal, therefore line AC is equal to line FG. AC is 5 units long.</h3><h3 /><h2>3. 23 Degrees</h2><h3>106 + 51 = 157</h3><h3>180 - 157 = 23</h3><h3>The other triangle also has the same angles.</h3>
Answer:
1
option d
2
option a
Step-by-step explanation:
1)
The population is difficult to cover because it involves a lot of cost on procedure. Further, whole population is difficult to cover and it is infeasible to collect data on entire population. For example we want to check the quality of rice in production unit, we could n't test all grains of rice to check the quality rather than we take a portion of rice grains for quality check. Here, if the whole lot of a rice grains are taken then first drawback would be that it will be costly and second it is infeasible to collect data for whole lot of a rice grains.
2)
Teacher's union is planning to calculate the average salary for only high school teachers in a country and salaries for other teachers are not considered. So, from teachers population a sample of high school teacher in a country is selected. Thus, the calculated average will be sample statistic.
Browse means to glance at, for example when looking at a magazine you most likely skim or glance at the small paragraphs next to the big pictures.
Answer:
B
Step-by-step explanation:
given
- 4x²(3x - 7)
multiply each term in the parenthesis by - 4x²
= (-4x² × 3x) + ( - 4x² × - 7)
= - 12x³ + 28x² → B
<h3>Answer:</h3>
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3>
<h2>Given:</h2>
- The centre of the ellipse is at the origin and the X axis is the major axis
- It passes through the points (-3, 1) and (2, -2)
<h2>To Find:</h2>
- The equation of the ellipse
<h2>Solution:</h2>
The equation of an ellipse is given by,
Given that the ellipse passes through the point (-3, 1)
Hence,
Cross multiplying we get,
- 9b² + a² = 1 ²× a²b²
- a²b² = 9b² + a²
Multiply by 4 on both sides,
- 4a²b² = 36b² + 4a²------(1)
Also by given the ellipse passes through the point (2, -2)
Substituting this,
Cross multiply,
- 4b² + 4a² = 1 × a²b²
- a²b² = 4b² + 4a²-------(2)
Subtracting equations 2 and 1,
- 3a²b² = 32b²
- 3a² = 32
- a² = 32/3----(3)
Substituting in 2,
- 32/3 × b² = 4b² + 4 × 32/3
- 32/3 b² = 4b² + 128/3
- 32/3 b² = (12b² + 128)/3
- 32b² = 12b² + 128
- 20b² = 128
- b² = 128/20 = 32/5
Substituting the values in the equation for ellipse,
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
