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fredd [130]
3 years ago
9

Prove that the altitude to the base of an isosceles triangle is also the angle bisector of the angle from which it is drawn

Mathematics
1 answer:
andriy [413]3 years ago
5 0

Step-by-step explanation:

To prove- Altitude to the base of an isosceles triangle bisects the angle from which it is drawn.

In the given figure ΔABC (isosceles triangle) whose sides AB=AC

From ∠A an altitude is drawn to base (BC) which meets BC at X

∠AXB=90 and ∠AXC =90

∴We need to prove ΔXAB= ΔXAC for altitude to bisect the ∠ BAC

In Δ AXB and Δ AXC

AB=AC (same hypotenuse)

AX= common altitude (serve as the common leg of the hypotenuse)

ΔAXB ≅ ΔAXC

Hence, we can conclude that the corresponding angle∠ XAB = ∠XAC. QED

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Calculate the total amount and compound interest on RS 8,000 for a year at the rate of 9% per annum compounded half yearly.
Gennadij [26K]

Answer:

See below in bold.

Step-by-step explanation:

Total  = A(1 + r/n)^nt   where A = initial amount , t = number of years, r = the rate (as a decimal fraction) and  n = number of payments a year. So:

Total after 1 year =  8000(1 + 0.09/2) ^ 1*2

= RS 8736.20.

Compound interest = RS 736.20

8 0
3 years ago
1. How could you figure out the coordinates of a reflection over the x-axis? What would the coordinates of that reflected point
zzz [600]

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

Find out more on transformation at: brainly.com/question/4289712

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7 0
2 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 4 km to miles
RSB [31]

Answer:

2.4854848 miles (Rounded to 8 numbers) You can also round this to 2.49 miles.

Step-by-step explanation:

Hope this helps you!

Let me know if it does! :)

3 0
3 years ago
Read 2 more answers
A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make
Alisiya [41]
Since 2 croissants = $3 we can work out that 1 croissant = $1.50

Multiply $1.50 by 31 and we get $46.50

Therefore 31 croissants is $46.50
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3 years ago
A shop sells 3 pairs of boots at size 6, 5 pairs at size 7. 8 pairs at
alina1380 [7]

modusAnswer:

median=8

modusmodusmodus=8

Step-by-step explanation:

6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,11

median=[ttTTeTTextTTeTTexteTexTTeTTextTTeTTexteTex]X_{\frac{21+1}{2}}=X_11

4 0
2 years ago
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