<span>We can analyze the four optons. 1) Option A. A parallelogram with all four angles of the same measure can be either a square or a rectangle, then this option is not valid. 2) Optrion B. gives not information. 3) A rhombus (a diamond) is a parallelogram with four congruent side (square is a specific case of rhmbus but not all rhombus are squares), and it is enouh to say that one diagonal bisects two interior angles, to conclude that it is a rhombus. 4) If a diagonal creates congruent angles, but you do not know what happens with the opposed angle, you cannot conclude that the parallelogram is a rectangle; it could be a trapezoid with one side perpendicular to the parallel sides. By t his analysis, the answer is option C.</span>
4/3
Remember if two lines are perpendicular, the product of their slopes are -1
90/12 = 7.5
Hope I helped!
~ Zoe
Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
Answer:
15 boys and 20 girls
Step-by-step explanation:
1. Since we cant simplify 3:4 we will leave it just like that.
2. 3x+4x=35
3. We add them both to give us 7x=35
4. We divide by 7 to get x by itself which results in 35/7=5.
x=5
5. Now we found x we can create 2 seperate soulutions:
3(5)=
and 4(5)=
Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.
