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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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Factorize x squared - 1x +10 =0
Natalka [10]

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

6 0
3 years ago
467.4 + 0.492 =<br><br>PLS HELP​
ratelena [41]

Answer:

467.892

Step-by-step explanation:

467.4+0.492 =467.892

3 0
3 years ago
Read 2 more answers
If f(x) = -5x - 1, find the function value f(1).<br><br> f(1) =
denis23 [38]

Answer: f(1) = -6

Please mark me as Brainliest

5 0
3 years ago
How do I solve <br><img src="https://tex.z-dn.net/?f=%20%20%5Csin%28%20a%20%29%20%20%3D%20.8325" id="TexFormula1" title=" \sin(
Serga [27]

Answer:

a=56.4\degree

Step-by-step explanation:

Let a be an acute angle.

To solve: \sin(a)=0.8325, we take the sine inverse of both sides to obtain:

\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)

Recall  composition property of a function and its inverse function.

f^{-1}(f(x))=x

We apply this property to the left hand side to obtain;

a=\sin^{-1}(0.8325)

We now use our scientific calculator to obtain;

a=56.3564115\degree

We round to the nearest tenth to obtain;

a=56.4\degree

4 0
3 years ago
Replace ... with ≥ or ≤ so that the derived inequality will be true for any value for x: x^2-16x+64 ... 0
ankoles [38]

Answer:

≥

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8 0
2 years ago
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