Answer:
Step-by-step explanation:
Remark
This may be a little late, but it is well worth finding all the answers. It is a perfect test question.
You should solve the angles in this order 2 5 1 4 3. This is not the only order you could use.
Angle 2
<180 = <2 + 148 <2 and 148 are supplementary
<180- 148 = <2
<2 = 32
Angle 5
1) All triangles have 180 degrees.
2) Diagonal bisect each other and are equal.
3) The two sides (one of which is opposite angle 5 are equal.
x + x + 148 = 180 All triangles have 180 degrees
All rectangles have diagonals that are bisected and the bisected parts are equal.
2x + 148 = 180 Subtract 148
2x = 180 - 148
2x = 32 Divide by 2
x = 32/2
x = 16
But x is really <5
<5 = 16
Angle 1
<1 = <5 by the z property of angles associated with parallel lines.
Angle 4
Angle 4 and <5 are Complementary. They make up 90 degrees.
Angle 3
<2 + the two base angles in the triangle = 180 degrees
The two base angles are equal. Call them x.
x + x + 32 = 180
2x + 32 = 180 Subtract 32 from both sides
2x = 180-32
2x = 148 Divide by 2
x = 148/2
x = 74
<3 = 72
Answer:

Step-by-step explanation:


<h3>
<u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>
Here the height and length are the sides of the rectangular wall and we have to find the area.
Area of rectangle is given by:

where l is the length and b is the breadth/width according to the question. Plugging the given values:


<h3>
<u>Hence:</u><u>-</u></h3>
The area of the wall is <u>1</u><u>0</u><u>5</u><u>6</u><u>0</u><u> </u><u>inch²</u>
Answer:
Step-by-step explanation:
the question does say that the amount of juice you an make, depends on the tomatoes soo 't' is the independent.. and 'a' the juice, is the dependent, which is the 2nd answer. Did you really not know.. or were you just unsure?
Answer:
KM = √70 ≈ 8.367
Step-by-step explanation:
FD is a midsegment whose length (8) corresponds to the average of the numbers of ratio units of LM : KN = 3 : 5. That is, each of those ratio units must be 2 length units, so KN = 10.
∠MKN = ∠KML = ∠N because the first two angles are alternate interior angles where transversal MK crosses parallel lines ML and KN. The latter two of these angles are equal because the problem statement says so.
These angle relationships make ΔKMN an isosceles triangle, with E the midpoint of the base. That is, KE = 5. We are told ME = 3√5, so the Pythagorean theorem tells us ...
... KM² = KE² +ME² = 5² +(3√5)² = 70
... KM = √70 . . . . . take the square root