Answer:
4.896 meters
Step-by-step explanation:
"scale model" means that the original is shrunk or grown by some factor. So say we have a triangle with side lengths 5, 4 and 3. We could "scale" it by multiplying or dividing all three numbers by another number. So we could make it twice as big so the sides will be 10, 8 and 6 or cut it in half s the sides are 5/2, 2 and 3/2. We could also make it 48 times larger by multiplying everything by 48, so the sides would be 240, 192, 144.
That's what happened here. The original was shrunk by a scale factor of 48. or you could think of it as making the scale model grow by 48 times. So the height times 48 is the height of the real thing. You are also going to want to convert from millimeters to meters.
so 102*48= 4896 millimeters. Now we convert that into meters and we get 4.896 meters. let me know if you need any further explanation.
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
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There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
I think it’s 975 but I don’t know if I’m right
Answer:
Look below
Step-by-step explanation:
We can start by writing an equation.
Let x be the width. The length would be x+4.
The equation would be:
96=2(x+x+4)
Divide both sides by 2
48=x+x+4
Add like terms
48=2x+4
Subtract 4 from both sides
44=2x
Divide both sides by 2
x=22
x+4=26
The width is 22 inches and the length is 26 inches.
That’s really hard to solve but I’ll try
