Answer:
3. The x-coordinate of point P is 6. Since P(6,1).
4. Area of rectangle is 32 square units.
Step-by-step explanation:
3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.
4. The appropriate sketch of the rectangle in a Cartesian plane shows that;
AB = DC = 4 units
AD = BC = 8 units
Area of rectangle = length x width
= 8 x 4
= 32 square units
The area of the rectangle is 32 square units.
Answer:
27.58 meters per second.
Step-by-step explanation:
divide 400 by 14.5
Yeeee
assuming your equaiton is

remember some nice log rules

translates to

and

and

and

and

and
if

then a=b
so
we can simplify a bit of stuff here
the

can be simplified to

so we gots now




same base so


times both sides by 5

divide both sides by 2

answer is x=75
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Answer:
0.4
Step-by-step explanation:
Round 0.600 - 0.200 = 0.4