Answer:
All the expressions other than option E, is equivalent to the expression 18m - 12.
Step-by-step explanation:
A. 6m - 4 + 6m -4 + 6m - 4
or 6m+6m+6m -4 -4 -4
or 18m -12
B. 12m + 6 - 6m -6
or 12m - 6m + 6 - 6
or 6m
C.6(3m - 2)
or 18m - 12
D.3(6m - 4)
or 18m - 12
E. 24n - 4² + 8 -6m
This option can not satisfy the given expression as it contains another variable as n.
Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6, 
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x, 
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x : : 2x = 6 : : 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to ( in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder?
Since the Area of the potholder = 80 sq inch
And the dimension of the potholder ; length and width are integers ; Hence, possible dimensions could be ;
Area = length × width
80 = length × width
(80, 1), (40, 2), (20, 4), (10, 8), (16, 5)
Potholders are fabrics sewn from the purpose of being used to handle pots and other kitchen equipments.
Usually the dimension are usually close, hence, the most sensible dimension a potholder with an area of 80 sq inch could have is 8 by 10 or vice-versa.
<em>Greetings from Brasil...</em>
In function F(X) = X², if we replace X with X + 4 we will have exactly function G(X) = (X + 4)²
So, just replace X for X + 4..... This will be responsible for translating 4 units to the left, because:
F(X) = X²
F(X + 4) = (X + 4)²
F(X + 4) ⇔ F(X + k) <em> see below</em>
We know that the translations are established as follows:
→ Horizontal
F(X + k) ⇒ k units to the left
F(X - k) ⇒ k units to the right
<em>see more:</em>
<em>brainly.com/question/17163323</em>
