Answer:
Consistent and Dependent
Consistent and Independent
Inconsistent and Independent
Step-by-step explanation:
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
If the triangle is increased to twice the base and the height the size will increase by 48 ft²
<h3>How to find the area of a triangle?</h3>
The area of a triangle can be described as follows;
area of a triangle = 1 / 2 bh
where
Therefore, the total area of the garden is 16 square feet.
Hence,
16 ft² = 1 / 2 bh
Hence, if the the triangle is increased to twice the base and the height the size will be as follows;
area = (1 / 2) × 2b × 2h
area = 4 × (1 / 2 bh)
area = 4 × 16
area = 64 ft²
Therefore,
difference in area = 64 ft² - 16 ft²
difference in area = 48 ft²
Therefore, if the the triangle is increased to twice the base and the height the size will increase by 48 ft²
learn more on triangle here: brainly.com/question/9593766
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