The measurement of fourth angle is: 130°
Further explanation:
Let A, B, C and D be the four angles.
m∠A=105°
m∠B=80°
m∠C=45°
We know that the sum of interior angles of a quadrilateral is 360°
So,
m∠A+m∠B+m∠C+m∠D=360°
105°+80°+45°+m∠D=360°
230°+m∠D=360°
m∠D=360°-230°
m∠D=130°
The measurement of fourth angle is: 130°
Keywords: Quadrilateral, Interior angles
Learn more about quadrilateral at:
#LearnwithBrainly
5 1/6 * (-2/5) = __
turn 5 1/6 into a mixed fraction
31/6 * (-2/5) = __
multiply
31 * -2 = -62
6 * 5 = 30
so -62/30 or -2 1/15
Hopefully the attachment helps too!
Answer:
Oil changes = 5
Vincent = 10 oil changes
Warren = 10 oil changes
Step-by-step explanation:
Vincent = 5 + h
Warren = 2h
Where,
h = number of oil changes
How long will that take?
Vincent = Warren
5 + h = 2h
5 = 2h - h
5 = h
h = 5
Number of oil changes = 5
How many oil changes will Vincent and Warren each have done?
Vincent = 5 + h
= 5 + 5
= 10 oil changes
Warren = 2h
= 2(5)
= 10 oil changes
Answer:
x = 37/3 = 12.333
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
15x - 185 = 5 • (3x - 37)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 3x-37 = 0
Add 37 to both sides of the equation :
3x = 37
Divide both sides of the equation by 3:
x = 37/3 = 12.333
The least-square regression line has a slope of:
m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)
and a y-intercept of:
b=(Σy-mΣx)/n
In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so
m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846
b=(391*846-85*1058)/(7*846)=34408/846
So the line of best fit is:
y=(1058x+34408)/846 and if we approximated this as your answers see to have done....
y=1.25x+40.67
