Multiply first example by 3 and subtract by second example, you will get the following:
3*(5x + 2y) = 3*22 => 3*5x + 3*2y = 66 => 15x + 6y = 66
now subtraction:
(15x + 6y) - (-2x + 6y) = 66 - 3
15x + 6y + 2x - 6y = 63
15x + 2x + 6y - 6y = 63
17x = 63
x = 63/17 ≈ 3.705..... and as it says to round to the nearest tenth our answer would be: x = 3.7
Answer:
its probably 6×2=12 times
coin has 2 sides
dice has 6 faces
Answer:
Step-by-step explanation:
Given
Required
Factorize
To start with; we need to group the expression into two
Factorize each grouped expression, using their common factor
From the list of given options;
Option A is correct
9514 1404 393
Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
__
<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
Answer:
{x | x ∈ R, x > 3}
Step-by-step explanation:
We are given the following inequality:
x - 5 > -2
In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:
x - 5 + 5 > -2 + 5
x > 3
So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.
So, {x | x ∈ R, x > 3} is the answer.
