Answer:
315 inches long
Step-by-step explanation:
180 x .75= 135 <--- that is 75% of 180
then add the two numbers
180 + 135
you add them because the original length of the car is 180 inches and the truck is 75% longer.
180 + 135= 315
Answer:
The answer is (D) ⇒ AE ≅ CE
Step-by-step explanation:
∵ <em>ABCD is a parallelogram</em>
∴ AB = DC , AB // DC
∴ BC = AD , BC // AD
∴ m∠A = m∠C , m∠B = m∠D
∴ AC and BD bisect each other at E
∴ AE = CE
∴ The right statement is D ⇒ AE ≅ CE
Answer:
ABC is an isosceles triangle.
Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.
Step-by-step explanation:
I can conclude that triangle ABC is an isosceles triangle.
Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.
Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.
Therefore angle C for both triangles CDA and CDB is of equal measure.
We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.
The two triangles also share the same side CD.
Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).
Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.
Answer:
the equation of g(x) is,
Step-by-step explanation:
The transformation of the function is defined as:

where, b represents the horizontal shift.
if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right
As per the statement:
The function f(x)=2x−5 is a linear function.
It is given that:
g(x) represent f(x) after a horizontal translation 3 units to the right.
⇒
then

⇒
⇒
Therefore, the equation of g(x) is, 
350 miles/7 hours = 50 miles per hour
200 miles/ 3.75 hours =53 1/3 miles per hour
200 miles in 3.75 hours is faster