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kap26 [50]
3 years ago
12

Can anyone check for mistakes please!! Thanks :)

Mathematics
2 answers:
frozen [14]3 years ago
8 0

Answer:

Given all the blanks true explained below.

Step-by-step explanation:

Given the pairs of triangle,

First pair, ΔABC and ΔUVW

In these triangles to prove triangles congruent we need all three sides equal but AB≠UV. Hence, not congruent

Second pair, ΔABC and ΔGHJ

To prove triangles congruent we need all three sides equal but AB≠GH Hence, not congruent

Third pair, ΔABC and ΔPQR

To prove triangles congruent we need all three sides equal

AB=PQ=2 units

BC=\sqrt{(-1+4)^{2} + (1-4)^{2} } =\sqrt{18}units

QR=\sqrt{(-1-2)^{2} + (-1+4)^{2} } =\sqrt{18}units

AC=\sqrt{(-1+4)^{2} + (1-2)^{2} } =\sqrt{10}units

PR=\sqrt{(-1-2)^{2} + (-1+2)^{2} } =\sqrt{10}units

Hence, BC=QR, AC=PR

All 3 sides equal. By SSS rule both triangles congruent.

Fourth pair, ΔGHJ and ΔUVW

GH=UV=3 units

HJ=VW=2 units

Hence, by Pythagoras theorem,

GJ=UW=\sqrt{3^{2}+2^{2}}=\sqrt{13} units

Hence, All 3 sides equal. By SSS rule both triangles congruent.

Fifth pair, ΔGHJ and ΔPQR

To prove triangles congruent we need all three sides equal but PQ≠GH Hence, not congruent

Sixth pair, ΔPQR and ΔUVW

To prove triangles congruent we need all three sides equal but PQ≠UV. Hence, not congruent

Luden [163]3 years ago
4 0

Nope, no mistakes as far as I can tell! Great job!

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Answer:

-4 or -3

Step-by-step explanation:

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D = b^2 - 4ac = 49 - 48 = 1

Apply the formula:

x = (-b +- sqrt(D))/2a = (-7 +- 1)/2 = -4 or -3

7 0
2 years ago
The polygons are similar. Find the missing side length.
zloy xaker [14]

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

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\frac{24}{32}  =  \frac{33}{?}  \\  \\  \\ ? =  \frac{32 \times 33}{24}  \\  \\ ? =  \frac{4\times 33}{3} \\  \\ ? =  4\times 11 \\  \\  ? =  44 \: units

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3 years ago
Ax+3=23 if a=0 plz help
VladimirAG [237]

Answer:

x = \frac{23}{a}

Step-by-step explanation:

Given equation is,

ax + 3 = 23

To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.

Step 1,

Subtract 3 from both the sides of the equation.

ax + 3 - 3 = 23 - 3

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6 0
3 years ago
Solve for x in simplest form 15 = 1/3(x+9)
Lorico [155]

Heya!

Your question states: Solve for x in simplest form 15 = 1/3(x+9)

Answer: X = 36

<em>Numerical Explanation:</em>

1. Step by step

   I. 15 = 1/3(x+9)

2. Simplify both sides of the equation:

    II. 15 = 1/3x + 3

3. Flip the equation:

      III. 1/3x + 3 = 15

4. Subtract 3 from both sides:

          IV. 1/3 x +3 = 15

                          -3    -3

5.  Multiply both sides by 3:

              V.  3 * (1/3 x) = (3) * (12)

6. Final answer:

                  VI. x = 36


I Hoped I Helped!


~KINGJUPITER

         


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Adam is carrying 15.4 pounds because 3.85*4=15.4
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