To find the slant height we must take apart the pyramid first. Let us cut it in half. There we can easily see that the slant height is really just the hypotenuse of the triangle formed by half the base and the altitude.
Half the base length would be 6 cm.
Using the Pythagorean therom:
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
c = 10
The slant height should be 10 cm. Hope this helps!
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Sum of the interior angles of any triangle is 180° .
Thus ;
Subtract sides 138°
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So you make your equation 4x+20+40=180.
Add like terms and get 4x+60=180.
Subtract 60 from both sides, get 4x=120.
Divide boths sides by 4, get your answer of x=30.
Hope this helps
The first answer is C
The second answer is C
The third answer is B
Hope this helps!
Answer:
(-2,3)
Step-by-step explanation:
Step 1. Isolate x for 3x + 5y = 9
3x + 5y - 5y = 9 - 5y
3x = 9 - 5y
3x/3 = 9/3 - 5y/3
x= (9-5y)/3
Step 2. Simplify
-3*((9-5y)/3) + 3y = 15
-3*((9-5y)/3) = 9 - 5y = -(-5 + 9) + 3y
-9+5y+3y
-9+8y = 15
Step 3 Isolate y for -9+8y=15
-9+8y+9=15+9
8y=24
8y/8 = 24/8
y=3
Step 4 Substitute y = 3
x = (9-5*3)/3
-(6/3) = (-2)
x = -2
