Answer:
the number of circles is 3
the number of square is 9
the number of triangle is 10
Step-by-step explanation:
Let the number of square = s
let the number of circle = c
let the number of triangle = t
let the total number of the shapes = y
15 < y < 25
y = s + c + t ---- (i)
s = c + 6 ------ (ii)
c + 7 = t ------ (iii)
y = (s) + (c) + (t)
y = (c + 6) + (c) + (c + 7)
y = 3c + 13
15 < y < 25
15 < 3c + 13 < 25
15 - 13 < 3c < 25 -13
2 < 3c < 12
2/3 < c < 12/3
0.67 < c < 4
Thus, number of circle is greater 1 but less than 4
c = 3
s = 3 + 6 = 9
t = 3 + 7 = 10
Answer:$9
Step-by-step explanation:
65+8x=137
137-65=72
72/8=9
Step 1:<span>Simplify both sides of the equation.</span><span><span>2<span>(<span><span>3x</span>+1</span>)</span></span>=<span>3<span>(<span>2−x</span>)</span></span></span><span><span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(1)</span></span></span>=<span><span><span>(3)</span><span>(2)</span></span>+<span><span>(3)</span><span>(<span>−x</span>)</span></span></span></span>(Distribute)<span><span><span>6x</span>+2</span>=<span><span>6+</span>−<span>3x</span></span></span><span><span><span>6x</span>+2</span>=<span><span>−<span>3x</span></span>+6</span></span>
Step 2: Add 3x to both sides.<span><span><span><span>6x</span>+2</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>+6</span>+<span>3x</span></span></span><span><span><span>9x</span>+2</span>=6</span>
Step 3:Subtract 2 from both sides.<span><span><span><span>9x</span>+2</span>−2</span>=<span>6−2</span></span><span><span>9x</span>=4</span>
Step 4:Divide both sides by 9.<span><span><span>9x</span>9</span>=49
hope it helps :)
</span>
Answer:

Step-by-step explanation:
The point slope form of a line is
where
. We write

Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

As the sum of two complementary angles = a + b = 90
degree -------(1)
Difference of two complementary angles = a – b
According to question;
The difference of two complementary angles exceed the
sume (90) by 86.
So
a – b = 90 – 86 = 4 -------(2)
adding equation (1) and (2);
2a = 90 + 4 = 94
a = 94 / 2 = 47
putting a = 47 in equation (1);
47 + b = 90
b = 90 – 47 = 43
<span>
So angle a = 47 and
angle b = 43</span>