<u>Define x:</u>
Let the first number be x.
1st number = x
2nd number = x + 1
3rd number = x + 2
<u>Construct equation:</u>
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)
Answer: 3x + 3 = 4(x + 1)
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
<h3>Cyclic Quadrilateral</h3>
A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
learn more on angles here: brainly.com/question/19430381
Answer:
D. Negative slope
Step-by-step explanation:
Since it is a proportional relation, it must be linear. A line has a slope. Since it is decreasing, it is a negative slope.
Answer:
19251
Step-by-step explanation:
Answer:
Number of questions constraint:
x + y ≥ 15
Time constraint :
5x + 8y ≤ 120
Step-by-step explanation:
Let :
x = number of equations
y = number of word problems
Number of answers required = atleast 15
Equation takes 5 minutes
Word problem takes 8 minutes
Time available to complete exam = 120 minutes
Constraints :
Number of questions required
Total questions shout be atleast 15
x + y ≥ 15
Time constraint :
5x + 8y ≤ 120