Step-by-step explanation:
Let the painting's width be w inches and length be l inches.
w + 6 = 2l
w = 2l - 6 --(1)
2w + 2l = 84 --(2)
sub (1) into (2):
2(2l - 6) + 2l = 84
2l - 6 + l = 42
3l = 48
l = 16
when l = 16, w = 2(16) - 6 = 26
area of painting = lw = 16 x 26 = 416square inches
Therefore, only statements 1, 3 and 5 are true
Topic: Algebraic equations + Simultaneous linear equations
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Answer:
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.
√27 = 5.2 (to 1 dp)
√39 = 6.2 (to 1 dp)
A. √39 is greater.
B. 6 is the only whole number between the two.
Hope this helped :)
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
