5x^2-45=0
<em>*Add 45 to both sides*</em>
5x^2=45
<em>*Divide both sides by 5*</em>
x^2=9
<em>*Take the square root of both sides*</em>
x=+/-9
Hope this helps!!
Answer:
The correct option is (a).
Step-by-step explanation:
The vertices are equidistant from the circumcenter.
Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.
In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.
Therefore option (a) is correct.
In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.
Therefore option (b) is incorrect.
In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.
Therefore option (c) is incorrect.
In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.
Therefore option (d) is incorrect.
Answer:
The scale factor is 1.
Step-by-step explanation:
Let k be the scale factor of a dilation of triangle ABC to form the image triangle A'B'C'.
The dilation is a magnification if

In this case, the preimage will be similar to the image triangle.
If

the dilation is a reduction. The image and pre-image will still be similar.
But if

the image is the same as the preimage.
We say the pre-image is congruent to the image triangle.
Answer:

Step-by-step explanation:
We have been given that 1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla.
To find the fraction of children, who like vanilla also like chocolate, We will divide the fraction of children who like chocolate and vanilla by the fraction of children who like vanilla.

Since we know that dividing a fraction by another fraction is same as multiplying the first fraction by the reciprocal of second fraction.

After cancelling out 3 from numerator and denominator of our fraction, we will get,

Therefore, the fraction of those who like vanilla also like chocolate is
.