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oksian1 [2.3K]
3 years ago
11

The proof that ΔQPT ≅ ΔQRT is shown. Given: SP ≅ SR Prove: ΔQPT ≅ ΔQRT What is the missing reason in the proof? Statements Reaso

ns 1. SP ≅ SR 1. given 2. ST ⊥ PR 2. converse of the perpendicular bisector theorem 3. PT ≅ RT 3. ? 4. QT ⊥ PR 4. ST and QT name the same line. 5. QP ≅ QR 5. perpendicular bisector theorem 6. ΔQPT ≅ ΔQRT 6. HL theorem definition of perpendicular bisector definition of congruence reflexive property substitution property
Mathematics
2 answers:
Lisa [10]3 years ago
6 0

Answer:

<em><u>A. definition of perpendicular bisector</u></em>

Step-by-step explanation:

I JUST TOOK THE TEST!!!!!!

Ghella [55]3 years ago
3 0

Answer:

definition of perpendicular bisector

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Help need ASAP!! Thanks!! Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangl
Basile [38]

Answer:

The perimeter of rectangle is 18\ cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

x=y+5 ----> equation A

120=xy+2x^{2}+2y^{2} ---> equation B (area of the constructed figure)

substitute the equation A in equation B

120=(y+5)y+2(y+5)^{2}+2y^{2}

120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0

using a graphing tool -----> solve the quadratic equation

see the attached figure

The solution is

y=2\ cm

Find the value of x

x=y+5 ----> x=2+5=7\ cm

Find the perimeter of rectangle

P=2(x+y)=2(7+2)=18\ cm

8 0
3 years ago
Solve the equation x−62=7
mel-nik [20]

Answer:

x = 69

hope this helped you

8 0
3 years ago
Read 2 more answers
Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?
malfutka [58]
\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}

Hence, the correct options that apply are options A, D, E and F

7 0
1 year ago
(13/7) ^2 please help thank you! Enjoy your day :)
Roman55 [17]

Answer:

3.45

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help with this question
Bezzdna [24]

Answer:

It is all determined by how many spaces and which way the decimal point moves.

Step-by-step explanation:

So here are two examples

<em>Example 1:</em>

500000.00

To write this in scientific notation you would move the decimal place to the left.

You would move it 5 digits to the left so the exponent of 10 would be 5

5 * 10^{5}

<em>Example 2</em>

0.0000042

Here to write this in scientific notation you move the decimal place to the right.

You would move it 6 digits to the right so the exponent would be -6

4.2 * 10^{-6}

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3 years ago
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