It is the paid price with tax included. To calculate the total with tax included, you need the original price plus the amount of tax. If tax is 10 percent, it will be ten cents per dollar. 15.85(1+0.10) = 17.43
Answer:
Yes ,we can prove the two triangles are similar by angle angle test.
Step-by-step explanation:
Given:
∠ABE = 45°
∠EAB = 63° and
∠MNP= 72°
∠NMP = 63°
To Prove:
ΔABE ~ ΔMPN
Proof:
In a Triangle sum of the angles of a triangle is 180°
In ΔMPN
∴ ∠MNP + ∠NMP + ∠MPN = 180°
Substituting the given values we get,
∠MPN = 45° ..........................( 1 )
Now,for triangles to be similar
- minimum two angles should be congruent i.e AA test.
- all the three sides should be proportional i.e SSS test
In Δ ABE and Δ MPN
∠ ABE ≅ ∠ MPN = 45° ……….{From ( 1 ) and Given}
∠ EAB ≅ ∠ NMP = 63° ………...{Given}
Δ ABE ~ Δ MPN ….{Angle-Angle test}
..........Proved
Answer:
Step-by-step explanation:
The top triangle is similar to the whole triangle because of AAA
Then we know that the corresponding sides are similar
9/81=(3x-20)/(3x-20+56)
1/9=(3x-20)/(3x+36)
cross multiply
9(3x-20)=3x+36
27x-180=3x+36
24x=216
x=9
The antelope is faster than the wildebeest.
Step-by-step explanation:
The maximum recorded speed for the antelope is 88.5 km/h that it can sustain for almost a kilometer.
The equation for distance a wildebeest can run in t hours is given as ;
d=80t
Assume t=1 hour,d=80*1=80 km then you can say the wildebeest takes 1 hour to cover 80 km and 80 km/h
For a distance of 80 km, the antelope will take how many hours;
Time =Distance/speed =80/88.5 =0.904 hours
The antelope takes less hours to cover the distance, hence the antelope is faster than the wildebeest.
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Formula for speed :brainly.com/question/2583051
Keywords :Antelope,wildebeest,distances,
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10 digits.
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9