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Lana71 [14]
2 years ago
6

Which pair of triangles can be proven congruent by the HL theorem

Mathematics
2 answers:
Lelu [443]2 years ago
7 0

Answer: Third pair

Step-by-step explanation:

  • The HL theorem says that if the hypotenuse and a leg of one right triangle are equal to the hypotenuse and a leg of another right triangle, then the triangles are said to be congruent.

From the given pictures only third pair of triangles have hypotenuse and one leg are equal.

Then by HL theorem, the triangles in third pair are congruent.

lys-0071 [83]2 years ago
4 0

third one is your answer

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Dan is watching The Birds in his backyard. Of the birds he watches, 9. Of them,or 45%, are sparrows. How many birds are in his b
ra1l [238]

If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.

Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.

This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%

5 0
1 year ago
PLEASE HELP! I SUCK AT MATHHH, THANK YOUUU!!!
vfiekz [6]

Answer: 21/400

Step-by-step explanation:

Multivitamin:

8 cherry, 5 grape, and 7 orange

Total fruits in Multivitamin container :

(8 + 5 + 7) = 20

P(orange) = Total required outcome / Total possible outcomes)

P(orange) = 7/20

Calcium vitamin :

11 berry, 3 lemon, and 6 pineapple

Total fruits in calcium vitamin container:

(11 + 3 + 6) = 20

Probability of picking a lemon:

P(lemon) = Total required outcome / Total possible outcomes)

P(lemon) = 3/20

Therefore, probability of picking an orange and a lemon equals:

P(orange) × p(lemon) = (7/20) × (3/20) = 21/400

3 0
2 years ago
A jet flying at 123 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2
aev [14]

Answer:

The magnitude of the necessary lifting force is 7.95N

Step-by-step explanation:

Force = mv^2/r

mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m

Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N

7 0
2 years ago
What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
timofeeve [1]

We need to find the quotient of the given division problem.

\frac{x^{3}-3x^{2}+3x-2}{x^{2}-x+1}

In order to find its quotient, we will use long division.

x^{2}-x+1)x^{3}-3x^{2}+3x-2

First of all, we put x in the quotient as x^{2} goes into x^{3}, x times.

So, we get:

x^{2}-x+1)x^{3}-3x^{2}+3x-2(x

\text{ ..................}x^{3}-x^{2}+x

Upon subtracting, we get:

\text{....................}-2x^{2}+2x-2

We can see that x^{2} goes into -2x^{2}, -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).


5 0
2 years ago
Read 2 more answers
During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined at an angle of 35 degrees and u
lesya [120]
Resultant Vector: 554 N in the angle 80 degrees with the horizontal.


First, we must put each given in Polar form:
1. 500 N in the angle of 35 degrees with the horizontal
2. 400 N in the angle of 140 degrees with the horizontal in the same direction of the first guy wire (counterclockwise direction)

Then, add up the two polar forms, and it would give 553.59 in the angle of 79.26 with horizontal- counterclockwise direction. As estimated, 554 N in the direction of 80 degrees North of East.
5 0
1 year ago
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