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4 years ago

14

Help please! My maths unfortunately... Does anyone know how I would answer this? I just simply do not know what 'describe each r

eflection' means. Erm? The shape has moved?

1 answer:

Alisiya [41]4 years ago

4 0

A. reflection on the line y = -x
b. reflection on the line y = 0
c. reflection on the line y = -2
its just the line half way between the two shapes and perpendicular to any line drawn from corresponding points in one shape to another

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Im giving 100 Points to anyone who could solve this for me please.

myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

$\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}$

$\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}$

$\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)$

$\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}$

$\implies \sf BD=29\tan(30^{\circ})$

$\implies \sf BD=\dfrac{29\sqrt{3}}{3}$

$\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}$

$\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}$

$\implies \sf AB=27.2\:(nearest\:tenth)$

$\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}$

$\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}$

$\implies \sf AD=21.4\:(nearest\:tenth)$

$\implies \sf AC=AD+DC=21.4+29=50.4$

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

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2 years ago

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MrRa [10]

Answer is 6!
Explanation ; Step by step

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3 years ago

Solve the equation 5(x-2)=7(x+4) for x

Sphinxa [80]

Answer:

$\boxed{\bold{x=-19}}$

Step By Step Explanation:

Expand $\bold{5\left(x-2\right): \ 5x-10}$

Expand $\bold{7\left(x+4\right): \ 7x+28}$

$\bold{5x-10=7x+28}$

Add 10 To Both Sides

$\bold{5x=7x+38}$

Subtract 7x From Both Sides

$\bold{5x-7x=7x+38-7x}$

Simplify

$\bold{-2x=38}$

Divide Both Sides By -2

$\bold{\frac{-2x}{-2}=\frac{38}{-2}}$

Simplify

$\bold{x=-19}$

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3 years ago

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MArishka [77]

The answer is 1/6 (one-sixth)

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Sladkaya [172]

The answer is B.. if you cant figure out the answer try photomath it helps me a lot and shows you how to solve it step-by-step

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