2(x-5) + 4x - 7 = 7
2x-10 + 4x -7 -7 =0
6x - 24 = 0
6x = 24
x= 24/6
x= 4
Micah's answer is incorrect because X=4
Answer: The point has an x-coordinate of 2 and a y-coordinate of 6.
Step-by-step explanation:
Answer:
(i) 88°
(ii) 23°
Step-by-step explanation:
See the picture below.
The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.
ABCD is a rhombus, so all sides are congruent.
Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
_____
<em>Check</em>
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.
The area of the first rectangle would be 18cm² and the area of the second rectangle would be 12cm².
<h3>How to calculate the area of a rectangle?</h3>
To calculate the area of a rectangle we must apply the following mathematical formula:
According to the above, to calculate the area of the rectangles we must multiply the length of the side by the base as shown below. We must also take into account the table that will give us the value of X that we do not know:
- 3cm × 6cm = 18cm²
- 2cm × 6cm = 12cm²
Finally, to know how much the area of both rectangles adds up, we add both values:
12cm² + 18cm² = 30cm²
Note: This question is incomplete because the graph is missing. Here is the graph
Learn more about rectangles in: brainly.com/question/10046743