The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
To know more about equation here
brainly.com/question/18067015
#SPJ1
Answer:
Step-by-step explanation:
<u>Part A: the x-intercepts are -3/2 and 5/2 </u>
- 4
- 7x - 15 -----> (2x + 3) (2x - 5)
2x + 3 = 0 --------> 2x = -3 ----------> x = 
2x - 5 = 0 ---------> 2x = 5 -----------> x = 
<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>
f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
a<0 then the parabola opens down and the vertex is a max
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a))
f(x) = 4 - 7x - 15
a = 4
b = -7
-b/2a=-(7)/(2*4)=7/8
f(7/8) = 4
- 7(7/8) - 15
f(7/8) = 49/16 - 49/8 - 15
f(7/8) = -289/16
-
the vertex is (7/8,-289/16)
<u>Part C: </u>
- the vertex is minimum and the graph goes through the x intercepts
- plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )
The maximum rate, r, that the scuba diver may descend is r≤ 11.2
Given the following parameters:
- Initial length = 14.7feet
If the scuba diver reaches a depth no more than 65.1 feet below sea level, then;
r ≤ (65.1 - 14.7)/4.5
r≤ 50.4/4.5
r≤ 11.2
Hence the maximum rate, r, that the scuba diver may descend is r≤ 11.2
Learn more on rate here: brainly.com/question/11408596
Answer:
15yd^2
Step-by-step explanation:
Triangle area formula is A = bh/2
A = 6*5/2
A = 30/2
A = 15
Best of Luck!
Answer:
B) 55°
Step-by-step explanation:
55+70=125
180-125=55
or
Isosceles means 2 angles are the same, so it's 55°.
