Answer:
326m²
Step-by-step explanation:
Find the area of each side and find the total sum from each individual area:
2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326
So the surface area of the prism is 326m²
the assumption here being that both lines JH and FH are tangent lines to the circle, if that's the case the external angle of 34° is the angle made by the equal tangents, meaning the triangle is an isosceles with twin sides.
In an isosceles triangle the twin sides make also twin angles, so the angles at J and F are twins, and they'd be 180° - 34° = 146° total, since they're twins, each one takes half, or 73°.
Based on the properties of similar triangles, the two true statements are:
- ΔAXC ≅ ΔCXB.
- ΔACB ≅ ΔAXC.
<h3>The properties of similar triangles.</h3>
In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the properties of similar triangles, we have the following points:
- ∠A in ΔAXC matches ∠A in ΔABC and ∠C in ΔCXB.
- ∠C in ΔAXC matches ∠B in ΔABC and ∠B in ΔCXB.
- ∠X in ΔAXC matches ∠C in ΔABC and ∠X in ΔCXB.
In this scenario, we can can logically deduce that the two true statements are:
- ΔAXC is congruent to ΔCXB (ΔAXC ≅ ΔCXB).
- ΔACB is congruent to ΔAXC (ΔACB ≅ ΔAXC).
Read more on similar triangles here: brainly.com/question/7411945
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In any rhombus, the four sides are the same length.
Because of this, we know that
Furthermore, AC = AC due to the reflective property
Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that angle DAC = angle BAC, which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
