Answer:
b = 4a
Step-by-step explanation:
Given
a = 
b
Multiply both sides by 4 to clear the fraction
4a = b
angles across each other at a junction, namely vertical angles, are equal.
so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.
if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.
now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.
since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.
105/2 = 52.5° = x.
Isn’t it because of dilation?
Answer:
See below.
Step-by-step explanation:
match the vocabulary word to its correct definition
1 additive identity
—the number 0 (for the numbers)
2 equation
—a mathematical sentence whose verb is ‘equal’ (=)
3 multiplicative identity
—the number 1 (for the real numbers
4 open sentence
—an equation that contains a variable or variables
5 symmetric property
—when the sides of an equation are interchanged, an equivalent equation is formed ; if a=b, then b=a
The answer is SI
Hope this helped
