The answer is: D
Step-by-step explanation:
Direction: Opens Up
Vertex: (
−1/2, −25/4)
Focus: (−1/2, −6)
Axis of Symmetry: x = -12
Directrix: y = -132
Helens increases more over time
Clints salary increases 4000$ a year
Helens salary increases 5400$ a year
How i got that was i got there current wage subtracted it from there starting wage and then divided by 3 because it has been 3 years since the beginning wage
In 10 years if this rate continues clint would be makin 60,000$ for that year and helen would be makin 81,000$ for that year
They aren't different. They are they same. Mistype?
Answer:
D. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
Given various triangle descriptions, you want to know which one describes more than one triangle.
<h3>Triangle relations</h3>
The angles and sides of a triangle satisfy a few different relations:
- angle sum — the sum of angles is 180°
- triangle inequality — the sum of the two short sides exceeds the long side
- law of cosines — c² = a² +b² -2ab·cos(C)
- law of sines — a/sin(A) = b/sin(B) = c/sin(C)
<h3>Application</h3>
A. Two sides and the included angle can be used with the Law of Cosines to find the length of the third side. That is, a single triangle is created by these measurements.
B. Sides measuring 4, 8, and 15 do not satisfy the triangle inequality, so no triangle is created by these measurements.
C. Sides measuring 6, 8, and 10 satisfy the triangle inequality, so will create a single triangle. (That triangle is a right triangle.)
D. The given angles total 180°, so could be the angle measures of any number of triangles. At least one side length must be specified in order to completely define a single triangle. These measures create more than one triangle.
<h3>Given:</h3>
The ratio of number of girls and boys in a class of 30 students is 7:8
<h3>To Find:</h3>
The ratio of number of girls and boys if 5 new boys admit in the class.
<h3>Assumption:</h3>
Let the number of students be x.
<h3>Solution:</h3>
According to the question,
7x + 8x = 30
or, 15x = 30
or, x = 
or, x = 2
7x = 7(2) = 14
8x = 8(2) = 16
There were 14 boys and 16 girls in the school.
After admitting 5 new boys, we get
14 + 5 = <u>19</u>
The ratio of number of girls and boys now is 16:19.
<h2>Answer:</h2>
<u>1</u><u>6</u><u>:</u><u>1</u><u>9</u>
