Answer:
x = -1
Step-by-step explanation:
Given the point, (-1, 2), and that the slope is <u><em>undefined</em></u>.
The standard linear equation of vertical lines is <em>x</em> =<em> a</em>, where the x-intercept is (<em>a</em>, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of <u>division by zero</u> (which is an <em>undefined operation</em>).
Since the slope is <u>undefined</u>, then it is <u>not possible</u> to create a linear equation in either the slope-intercept form, or point-slope form.
Therefore, the equation of a vertical line given the point, (-1, 2) is <em>x</em> = -1.
So when this sign < has a line under the greater sign so this mean greater or equal
same with this
12>= x so this mean 12 greater or equal x but than there is a line under the greater sign so this mean equalitie sure too
hope this will help you
Mean=np
36=(0.12)n
n=300
300 students were surveyed.
That's the way I answer in my country but I'm not sure about this solution is correct in your school or not.
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
