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NemiM [27]
3 years ago
7

CD is the perpendicular bisector AB. G is the midpoint of AB. points E and F lie on CD. which pair of line segments must be cong

ruent?

Mathematics
2 answers:
Darya [45]3 years ago
8 0

Answer:

AE and BE

Step-by-step explanation:

Please refer to the image attached with this.

Here in we have made a diagram a per the conditions given in the question. If  we observe ΔABE, We see

AG=GE ( CD is perpendicular bisector of AB , Hence G is mid point)

∠AGE = ∠BGE = 90°

GE = GE

Hence

ΔAGE ≅ ΔBGE

Therefore the theorem of congruent triangles  ,

AE ≅ BE

Ugo [173]3 years ago
6 0
AG and GB must be congruent and CG and GD must be congruent as well
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Allan borrows 1870 dollars from his uncle. Two years later, he borrows another 1240 dollars. If his uncle charges him 8 percent
Anna11 [10]
For t=0
<span>Allan borrows--------------------------- > 1870 dollars

for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars

for t=2
Allan borrows--------------------------- > 1240 dollars

for t=6 years
F2 = P2*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*4=4
we have
P2=1240
r=8%
m=1
t=4 years------------> (6-2)=4 years
F2 = 1240*(1 +(0.08/1))^4------------------ >1687 dollars

F1+F2=2967.45+1687=4654.45 dollars
the answer is 4654.45 dollars


3 0
3 years ago
Center: (-9, -3), point on circle: (-11, 2)
Vsevolod [243]

Answer:

y = -\frac{5}{2}x-\frac{51}{2}

Step-by-step explanation:

6 0
3 years ago
Please help me ASAP!!
Degger [83]

Answer:

30.9 cm^2

Step-by-step explanation:

A=(3*2.6)/2+3*(3*6)/2=3.9+27=30.9 cm^2

5 0
3 years ago
Find the compound Interest for Rs.18,800 ,calculated for 2 years at 13% rate of Interest compounded annually
Vinvika [58]

For compound interest, the formula is given below:

Amount = P(1+\frac{r}{100} )^{n}

Here, P = 18,800

n = 2

r = 13/100

So, Amount = 18,800(1+\frac{13}{100} )^{2}

18,800(1.13)^{2}

= 18,800 × 1.2769

= 24005.72

Compound Interest = Amount - Principal

Compound Interest = 24005.72 - 18800

= 5205.72

Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.


4 0
3 years ago
Find the lateral area for the pyramid with the equilateral base
likoan [24]
<h3>The lateral area for the pyramid with the equilateral base is 144 square units</h3>

<em><u>Solution:</u></em>

The given pyramid has 3 lateral triangular side

The figure is attached below

Base of triangle = 12 unit

<em><u>Find the perpendicular</u></em>

By Pythagoras theorem

hypotenuse^2 = opposite^2 + adjacent^2

Therefore,

opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8

<em><u>Find the lateral surface area of 1 triangle</u></em>

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48

<em><u>Thus, lateral surface area of 3 triangle is:</u></em>

3 x 48 = 144

Thus lateral area for the pyramid with the equilateral base is 144 square units

5 0
3 years ago
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