Answer:
The answer is the first option
hope this helps
Step-by-step explanation:
The first one is the correct answer
Answer:JI=16, JH=15, <W=37, <J=114, <I= 29
Step-by-step explanation:
When naming congruent triangles, the corresponding points are named in order from one triangle to another.
Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.
JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.
To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.
37+114+<I= 180. Combine like terms.
151+<I=180. Subtract 151 from both sides.
<I= 29
The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0
<h3 /><h3>What is Sine Law?</h3>
If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.
a/ sin A = b/ sin B = c/ sin C
Using Angle sum property in a triangle we have,
α+β+ γ = 180
40+35+ γ=180
γ= 180-75
γ= 105°
Now,
c/ sin γ= a/ sin α
c/ sin 105= 10/ sin 40
c/ 0.96592 = 10 /0.6427
c = 15
again,
b/ sin β= a/ sin α
b/ sin 35= 10/ sin 40
b/0.5737= 15.559
b= 8.92
Learn more about sine law here:
brainly.com/question/17289163
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What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?
