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DiKsa [7]
2 years ago
13

Equivalent Expressions for 6(4t+5)+2

Mathematics
1 answer:
Radda [10]2 years ago
8 0

Answer:

48t + 60

Step-by-step explanation:

hope this helps!!

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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)
marusya05 [52]

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

5 0
3 years ago
GIVING AWAY 100 POINTS cause y not
avanturin [10]

Answer:

yay. thxx

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Use the graph below to answer the following question:
larisa [96]
ANSWER

B) -1

EXPLANATION

From the graph,

f(1)=3 and f(4)=0.

The average rate of change from x=1 to x=4 of this function is,

= \frac{f(4) - f(1)}{4 - 1}

Substitute the functional values

= \frac{0 - 3}{3}

Simplify

= \frac{-3}{3} = -1

The correct choice is .
5 0
3 years ago
Read 2 more answers
Use two unit multipliers to convert 1250 square inches to square feet
abruzzese [7]
Divde it by 12^2 or 144
1250/144=8.605555555555ft^2
5 0
3 years ago
Read 2 more answers
1. What is the formula for compound interest?
Rus_ich [418]

Answer:

  1.   CI = P (1 + \frac{r}{100} )^ n - P

        CI = A - P

      Where P is Principal

      R is interest rate

      n is number of years

   2. a. Semi annually - four times in a year

       b. Monthly           -  two times in a year

       c.  annually          -  once in a year

Step-by-step explanation:

1.  Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .

i.e CI = Final period - Initial period

or CI = A - P

or CI = P(1+ \frac{r}{100}) ^n - P

2. (a) Semi annually

        A = P (1 + \frac{r}{4 * 100} )^ n × 4

   (b)  Monthly

       A = P (1 + \frac{r}{2 * 100} ) ^ n × 2

   

   (c)  Annually

       A = P (1 + \frac{r}{100} ) ^ n

3 0
3 years ago
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