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andreev551 [17]
2 years ago
10

Rsm question please explain The question is in the picture

Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

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Answer: 2.25 grams

Explanation:

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we have m, we just have to find n. To find n,

24/6 = 4 half lives have passed.

Applying the first formula,

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Hope this helps, brainliest would be appreciated :)
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2 years ago
F(x)=x^3+ax^2+bx+3 where a and b are constants. bx Given that when f (x) is divided by (x+2) the remainder is 7, (a) show that 2
Vlad1618 [11]
Part I - First synthetic division

You need to use synthetic division to come up with an expression for a and b:

(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...

coefficients = 1 for X^3; A for X^2; B for X^1; and 3

-2  |        1          A            B                 3
     
                        -2        -2(A-2)          4(A-2)-2B
 
            1        (A-2)    -2(A-2)+B      4(A-2)-2B + 3  
                            
                                    Remainder = 7

<u>So...</u>

4(A-2)-2B + 3 = 7

4 * (A - 2) - 2B + 3 = 7

4A - 8 - 2B =  4

4A - 2B      = 12

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-------------------------------------------------------------------------------------------------------------------
Part II - Second Synthetic Division

We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1

1  |        1          A            B                 3
     
                        1         (A+1)         A+B+1
 
             1      (A+1)      A+B+1       A+B+4 
                            
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<u>So...</u> 

A + B + 4 = 4

A + B = 0

<u>A = -B
</u>

-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations

We know that<u> </u><u>A = -B</u><u /> and we also know that 2A - B = 6

Since we know that A is equal to -B We can substitute in A for -B, to get:

2A - B = 6

Therefore...

2A + A = 6

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<u>A = 2</u>

Again, as we know that A = -B, and as we have found that A = 2, we can see:

A = -B

Therefore...

2 = -B

<u>B = -2
</u>
So our final answer is <u>A = 2, B = -2</u><u />

Hopefully this answer is more useful than the last one, and isn't so confusing!

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(What I got. Though the answers vary because there's a bunch of ways to do it. This is just one. Hope it helps) 
8 0
4 years ago
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