Answer:
52°
Step-by-step explanation:
<em>here's</em><em> </em><em>your</em><em> solution</em>
<em>=</em><em>></em><em> </em><em>we </em><em>know</em><em> </em><em>that</em><em> </em><em>the </em><em>measure</em><em> </em><em>of</em><em> </em><em>angle</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>is </em><em> </em><em>9</em><em>0</em><em>°</em>
<em>=</em><em>></em><em> </em><em> </em><em>3</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>X </em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em>
<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>3</em><em>8</em><em>°</em>
<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>5</em><em>2</em><em>°</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.
There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2

Another way to do it is the longer proof of Pythagorean Theorem:

9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
__
(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
__
(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
3/5 would be the answer because every 3 banana nut here is 5 corn
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250