Y - x = 6
y + 2x = 57
2y - 2x =12
y + 2x = 57
∴3y = 69
y = 23
23 - x = 6
-x = -17
x =17
large van = 23
small van = 17
Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.
Angle A = 90 degrees
Angle A m B and the 59 forms a straight line which needs to equal 180
Angle B = 180 - 59 - 90 = 31
Angle B = 31 degrees.
Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.
Angle D is a vertical angle with 59, so equals 59 degrees.
Answer:
<h3>
x = 5 units</h3>
Step-by-step explanation:
area of a triangle = 1/2 base * height
where area = 10 units²
height = x units
base = 4
<u>plugin values into the formula:</u>
10 = 1/2 * 4 * x
x =<u> 10 (2) </u>
4
x = 5 units
800 x 100 = 80000
80000 divided by 16 = 5000
5000 - 800 = 4200
His overall budget is $4200
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.
<h3>What are vertical angles?</h3>
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.
Hence, the correct option is A.
Learn more about Vertical Angles:
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