Answer:
The statements must be true are A , D , E
Step-by-step explanation:
* Lets explain the figure
- There is a triangle
- Its interior angles are x° , y° , z°
- The angle of measure w° is an exterior angle of the triangle at the
vertex whose measure is z°
- There a fact in the triangle is the measure of the exterior angle of a
triangle at one of its vertices is equal to the sum of the measures
of the two opposite interior angles to this vertex
∵ w° the measure of the exterior angle of the vertex whose measure
is z°
∵ x° , y° are the measures of the opposite interior angles of the angle
whose measure is z°
∴ w° = x° + y°
∴ w° > x°
∴ w° > y°
* Lets find the statements must be true
# w > x ⇒ A
# x + y = w ⇒ D
# w > y ⇒ E
Michael will have 4 cards left because 265/9=29.4444444... then i do 29 (from the 29.4444) times 9 which gives me 261 and i did 265-261.
Answer:
The area of ΔABC is 6√6 sq. yards.
Step-by-step explanation:
The area of a triangle using the Heron's formula is:

Here <em>s</em> is given as follows:

The sides of the triangle ABC are as follows:
AB = 6 yd
BC = 7 yd
CA = 5 yd
Compute the value of <em>s</em> as follows:


Compute the area of ΔABC as follows:


Thus, the area of ΔABC is 6√6 sq. yards.
Yes there is actually a formula for this. This is an arithmetic progression with a common difference of 1.
The sum of terms can be solved by using the formula
S = (n/2) * (a1 + an)
where S is the sum of the terms
n is the number of terms
a1 is the first term
an is the last term
we can calculate the number of terms, n by using the formula
an = a1 + (n-1)*d
d is the common difference equal to 1
therefore n = 51
substituting to the first equation
S = 2805
Answer:
y = -2x - 9
Step-by-step explanation:
so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.
-1 = -2(-4) + b
multiply -2 and -4
-1 = 8 + b
we subtract 8 from itself and -1
-9 = b
Our equation is y = -2x - 9