Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. 
Vertical angle theorem
3. 
Angle congruence postulate
4. 
Given
5. 
<u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle
The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."
The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
1/r = (3 1/2)/245
(3 1/2)r = 245
r = 245/3 1/2
r = 70
scale is 1 in to 70 miles.
Answer:
88 miles.
Step-by-step explanation:
$.40 x 88(miles) = $35.2
$35.2 + $45 = $80.20
Now, the reason it is 88 is because 87 miles would equal
$.40 x 87 = $34.8 (total is $79.80) so that would be $.20 short.
Next four multipules of 4/8
to keep the value of 4/8 the same, we must multiply the top number and bottom number by the same thing
4/8 times 2/2=8/16
4/8 times 3/3=12/24
4/8 times 4/4=16/32
4/8 times 5/5=20/40
next 4 multipulees are
8/16, 12/24, 16/32, 20/40
