Question 11 pts
1. In an equilateral triangle, all side lengths are equal and all angle measures are equal. Sketch
an equilateral triangle. What are the measures of its angles?
2. In an isosceles triangle, which is not equilateral, two side lengths are equal and two angle
measures are equal. Sketch three different isosceles triangles.
3. List two different possibilities for the angle measures of an isosceles triangle.
Answers
The measure of each equilateral triangle is 60°.
Given that, in an equilateral triangle, all side lengths are equal and all angle measures are equal.
What is an isosceles triangle?
Isosceles triangles are those triangles that have at least two sides of equal measure. The side opposite the vertex angle is called the base and base angles are equal.
The sketch of equilateral triangle is given below:
The measure of each equilateral triangle is 60°.
The sketch of isosceles triangle is given below:
Two different possibilities for the angle measures of an isosceles triangle are 45°, 45° and 90°.
Another triangle has 65°, 65° and 50°.
Therefore, the measure of each equilateral triangle is 60°.
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I know this isn’t a answer or a step by step explanation but can someone please help and explained this it’s so confusing and hard
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During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?
y ≥ 0
y > 2
y ≥ 2
Answers
The range of the function f(x) : is y > 0.
The correct option is (A)
What is range?
The definition of range is the set of all possible values that the function will give when we give in the domain as input.
Given function is :
If we draw the graph for this, then we can see that the horizontal asymptote is 0.
So, the range is real numbers higher than 0.
Hence, the range should be y > 0.
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∠1 and ∠5 ?
corresponding angles
adjacent angles
alternate interior angles
alternate exterior angles
Answers
2x^2+5x-9=0
Answers
Final answer:
The quadratic equation 2x^2+5x-9 = 0 has two solutions or zeros, which may be real or complex. They can be found using the quadratic formula: x = [-5 + sqrt(97)]/4 and x = [-5 - sqrt(97)]/4.
Explanation:
The equation given is 2x^2+5x-9=0, which is a quadratic equation. The solutions or zeros of a quadratic equation can be found using the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)]/2a. Here, a=2, b=5, and c=-9.
Let's substitute these values into the formula:
x = [-(5) ± sqrt((5)^2 - 4*2*(-9))]/2*2
x = [-5 ± sqrt(25 + 72)]/4
x = [-5 ± sqrt(97)]/4
Therefore, this equation has "two solutions" or zeros, which are x = [-5 + sqrt(97)]/4 and x = [-5 - sqrt(97)]/4.
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A. y - 7 = 4 ( x - 3 )
B. y - 7 = 4 ( x + 3 )
C. y + 7 = 4 ( x + 3)
D. y + 7 = 4x - 12
Answers
Answer:
The equation of this line is y - 7 = 4(x + 3)
Step-by-step explanation:
To find this, start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 7 = 4(x + 3)
Answers
y=-2/3x+4
add 2/3x to both sides
2/3x+y=4
make whole numbers for niceness
multipily by 3 to clear fraction
2x+3y=12
answer is second one
ax + by = c
So, let's solve this problem to get correct answer
y = -2/3x + 4 { multiplying each term by 3 }
3y = -2x + 12 { according to the standard form equation our x variable should be on other side so let move that} { adding 2x on both sides }
2x + 3y = 12
Hence the correct option is B.
If you want to check your answer resolve your answer and see if you get the same quotient.
2x + 3y = 12
3y = -2x + 12 { subtracting both sides by -2x }
y = -2/3x + 12/3 {dividing both sides by 3 }
y = -2/3x + 4 { same as the quotient }
Hence proved.
Answers
4y=20
4y=20
y=5
Substitute to first equation
7x+15=22
7x=7
x=1