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Volgvan
3 years ago
15

The base angle theorem is written as a conjecture,"if two sides of a triangle are congruent, then the angles opposite of them ar

e congruent". Write the converse of the conjecture and determine if it is true.
Mathematics
1 answer:
diamong [38]3 years ago
8 0

Step-by-step explanation:

Statement:

"If two sides of a triangle are congruent, then the angles opposite of them are congruent"

Converse:

If two angles of a triangle are congruent, then the two sides opposite them are congruent.

The converse of the statement is true and can be proven true using a two-column proof. In fact it is a theorem.

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Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ c
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Answer:

6 cups

Step-by-step explanation:

3/4x8=

6

7 0
3 years ago
Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lem
Svetlanka [38]
Matthew made $15


Matthew 60% + Luke 40%= Profit 100%


if profit is $25; 60% will be: 0.60* $25=$15 ; Matthew's share 
                       40% will be:  0.40* $25 =10 ; Luke share         
3 0
4 years ago
Read 2 more answers
Graph of y= 1÷2 cos x-1<br>​
vivado [14]

Answer:

Hello my lil Bunny!

❀ _____.______❀_______._____ ❀

y= 1÷2 cos x-1

Vertical Asymptotes: x = \frac{3\pi }{2} + n\pi for any integer n

Step-by-step explanation: Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: None

Period: 2\pi

Phase Shift: 0 (0to the right)

Vertical Shift: -1

Hope this helped you.

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8 0
3 years ago
In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such
Alenkinab [10]

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

6 0
3 years ago
Joshua wants to buy a flat-screen TV that’s costs $625.he save $62.50 each week to buy the TV. In how many weeks will he have en
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Answer:

in 10 weeks because if you multiply 62.50 10 times you get 625

3 0
3 years ago
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