<h3>
Answer:</h3>
90°
<h3>
Step-by-step explanation:</h3>
The polygon has 7 sides, so the total of internal angles will be ...
... 180°×(7 -2) = 900°
The sum is then ...
... x + 146° +122° +142° +140° +110° +142° = 900°
... x + 802° = 900° . . . . . simplify
... x = 98° . . . . . . . . . . . . .subtract 802°
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<em>Comment on angle measure formula</em>
The usual formula for computing the total of internal angles of a convex polygon with n sides is ...
... total angle measure = (n -2)×180°
This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...
... (180° -a1) +(180° -a2) +... +(180° -an) = 360°
... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms
... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°
... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°
Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Answer:
Slope = 0.667/2.000 = 0.333
x-intercept = 36/-1 = -36.00000
y-intercept = 36/3 = 12
Step-by-step explanation:
Answer:
£30
Step-by-step explanation:
Gavyn has £18 more than Alex
—› G - A = £18
—› 4u - 1u = 3u = £18
1u = £18 ÷ 3
= £6
total units = 4 + 1 = 5
5u = 5 × £6 = £30
