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Alexxandr [17]
2 years ago
9

PLZ HELP ASAP USE SIMMILAR AND CONGRUENT TRIANGLES

Mathematics
1 answer:
masya89 [10]2 years ago
4 0
Area of triangle DUO: A=?
Formula of the area of a triangle: A=(1/2)bh
Base of the triangle: b
Height of the triangle: h

In this case:
b=OD=OM+MD=4+10→b=14
h=MU=?

Since DR is perpendicular to OP:
Angle RDO = 90° = Angle RDP

Like angle RDU is congruent with angle RDA, the angle UDM must be congruent with angle ADP.

If angle UMO is 90°, the angle UMD is 90° too.

The triangles ADP and UDM have two congruent angles:
Angle UMD = 90° = Angle APD
Angle UDM = Angle ADP
Then the triangles UDM and ADP are similars, and theirs sides must be proportionals:
MU/MD=AP/DP
Replacing the known values:
MU/10=4.5/3.75
MU/10=1.2
Solving for MU. Multiplying both sides of the equation by 10:
10(MU/10)=10(1.2)
MU=12

A=(1/2)OD*MU
A=(1/2)(14)(12)
A=84

Answer: The area of triangle DUO is 84.00 square units. 
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The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature
Archy [21]

Answer:5

Step-by-step explanation:

2+3

5 0
2 years ago
A train leaves at 14.54 and arrives at its destination at 15.47. If the train travelled 66 km, what was it's average speed in km
JulijaS [17]

Answer: average speed of the train = 4,483.0 km/h

Step-by-step explanation:

Speed = Distance / Time

Distance = 66 km

Time = 15.47  cancelling 15, we have 60 sec added to 47 sec

         <u> - 14.54</u>

=         14.   107    60 + 47

         <u> - 14.  54</u>

<u>                     53secs</u>

53secs to hours becomes =

60 secs = 1 min

60 min= i hour

therefore 53seconds =53/3600=0.0147222hours

Speed= 66/ 0.0147222= 4,483.025

Rounding to 1 dp becomes= 4,483.0 km/h

3 0
2 years ago
Solve for x -4(2x-3)= -36
ki77a [65]

Answer:

x=6

Step-by-step explanation:

-4(2x-3)=-36

-8x+12=-36

-8x=-48

x=6

4 0
2 years ago
8 3/5 - 2 1/3 help me please
user100 [1]

Answer:

6.26666666667, your welcome :)

4 0
2 years ago
Read 2 more answers
the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
9966 [12]

Answer:

first term a=4

Step-by-step explanation:

Sum of the first 6 terms S6 = 15624

common ratio r= 5

n= 6

first term a=?

Formula: S6= a(r^n-1)/r-1

15624 = a( 5^6-1)/5-1

15624 = a(15625-1)/4

15624= a( 15624)÷4

15624= 15624a÷4

Cross multiply

15624×4 = 15624a

62496 = 15624a

divide both sides by 15624

62496÷15624 = 15624a÷15624

4 = a

a= 4

7 0
3 years ago
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