Answer:
B: A square
Step-by-step explanation:
Let's use the process of elimination:
We know that each shape here has opposite parallel sides so there's not much we can do about that one.
All sides congruent automatically gets rid of A.) Rectangle and C.) Parallelogram because they do not <em>always</em> have congruent sides
Opposite angles are congruent gets rid of D.) Rhombus. Although a rhombus can have all congruent angles, it isn't <em>always</em> congruent the way a square is. The definition of a rhombus is a quadrilateral with <em>equal side lengths</em>. Not angles.
So the only shape that meets each criteria all the time is a square.
If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:
x = -4y + 4 ... x + 4y = 4 /*(2)
2x + 8y = 8
____________
2x + 8y = 8
<span>2x + 8y = 8
</span>____________
0 = 0
The correct result would be infinitely many solutions.
Estimation is the process of making quick mental calculation of a value, quantity, or number.
We basically do estimation every day of our lives.
For example, we want to order several pizzas. We know that each pizza costs between $5 to $10. We order 3 pizza pies; Pie 1 = $6; Pie 2 = $8; Pie 3 = $9.
In getting an estimate, we either overestimate or underestimate. We know that whether a product of an estimate is overestimated or underestimated by the direction of the rounded up numbers.
We overestimate, when we round up the numbers
We underestimate, when we round down the numbers.
Overestimate: $10 x 3 pizza = $30 total cost
Underestimate: $5 x 3 pizza = $15 total cost
Actual cost: $6 + $8 + $9 = $23
In estimating expenses, it is better to overestimate. This gives us an allowance when incidental expenses incur.
In estimating income, it is better to underestimate. It gives us a more realistic value of the income.
Answer:
x = 61.92751306
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite / adjacent
tan x = 15/8
Take the inverse tan on each side
tan ^ -1 (tan x) = tan ^ -1 (15/8)
x = 61.92751306
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
