The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.
The answer would be x = 180 - (67 + 52)
Answer:
a=8
Step-by-step explanation:
We can use ratios of similar triangles to solve
The smaller triangle has sides a and 12 and the larger triangle has sides a+a+4 and 12+18 which combine to 2a+4 and 30
a 2a +4
--------- = -----------
12 30
Using cross products
30a = 12(2a+4)
30a = 24a +48
Subtract 24a from each side
30a -24a = 24a-24a +48
6a = 48
Divide each sdie by 6
6a/6 =48/6
a =8
1. You must apply the following formula:
LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>
<span>
</span>
<span> 2. The slant length is (By </span><span> the
Pythagorean Theorem):</span>
<span> a</span><span>^2=b^2+c^2</span>
<span> </span><span>a= b^2+c^2</span>
<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>
<span> </span><span>a=√10</span>
<span>
</span>
<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>
<span>
</span>
<span> </span><span>P=2+2+2+2</span>
<span> </span><span>P=8</span>
<span>
</span>
<span> 4. </span><span>Then, you have:</span>
<span>
</span>
<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>
<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>
<span> LA=</span><span>(</span><span>8√10)/2</span>
<span> LA=</span><span>4√10</span>
