Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, angle O and angle M are congruent because the sides across from each of these angles are congruent. therefore, O = M = 4y - 15. Since, by the Triangle Angle-Sum Theorem all the angles of a triangle have to add up to equal 180 AND angle O and angle M are the same:
7y + 4y - 15 + 4y - 15 = 180 and
15y - 30 = 180 and
15y = 210 so
y = 14. Plug 14 in for y in 7y and get that
∠N = 98°
Answer:
1/2 is the slope
Step-by-step explanation:
Slope is rise over run
it goes up 1 and across 2
therefore the slope is 1/2
Answer:
y= -3
Step-by-step explanation:
I'll assume it is a linear line (straight line).
Sense the y-value doesn't change and stays -3, the equation for the line would be y= -3
And just so you know, the slope of the line would be 0.
Answer:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Step-by-step explanation:
At first we should know the following about the rhombus
1) All sides are congruent
2) The diagonals are perpendicular and bisects each other.
Given UV = 8 and WX = 5
So, according to (1)
TU = UV = VW = WT = 8
And according to (2)
WX = UX = 5
And ΔWXV is a right triangle at ∠x
So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39
∴XV = √39
So, XV = XT = √39
So, the missing measure of a rhombus are as following:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Answer:
$340
Step-by-step explanation:
Given data
Inititial fee= $100
cost per minute= $1
Let the total charge for x minutes by y
Hence the expression for the total charges after x minutes is
y= 100+1x
y=100+x
But an after is from 12pm - 4pm= 4 hours
x=4*60
x=240minutes
y=100+240
y=$340