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Semenov
1 month ago
12

Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4

, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
The length of the wooden plank is meters. How many -meter pieces can Joe saw from the wooden plank?
Mathematics
1 answer:
Inessa [12.5K]1 month ago
9 0
A reflection over the y-axis can be applied to polygon ABCDE. The outcome of this transformation presents a mirrored image of the polygon, which retains the same dimensions as the original. Hence, polygon ABCDE is congruent to polygon MNPQ.
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Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
Zina [12379]

38 % of the total budget goes to advertising on broadcast TV

Solution:

Based on the details,

Expenditure for broadcast TV advertising = $ 22, 000

Expenditure for cable TV advertising = $ 30, 000

Expenditure for radio advertising = $ 6000

Need to determine: the proportion of broadcast TV advertising

Total expenditure = $ 22, 000 + $ 30, 000 + $ 6000

Total expenditure = $ 58000

proportion of broadcast TV advertising = \frac{\text{ amount spend on broadcast tv}}{\text{ total amount}} \times 100

\rightarrow \frac{22000}{58000} \times 100\\\\\rightarrow 0.3793 \times 100 = 37.93 \approx 38

Hence 38 % of the total budget is allocated to broadcast TV advertising

7 0
25 days ago
Which statement is true about the graphs of the two lines y = x + 2 and y = x ? The lines are perpendicular to each other becaus
AnnZ [12381]
The lines y=x+2 and y=x are parallel since they share the same slope.
6 0
19 days ago
Read 2 more answers
Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +
PIT_PIT [12445]

Bart needs to;

Calculate 6(400), 6(10), and 6(2) ⇒ 2nd

Calculate each addend multiplied by 6 ⇒ 4th

Determine the total of (2400 + 60 + 12) ⇒ 5th

Step-by-step breakdown:

We'll review the distributive property

  • a(b + c) = ab + ac
  • a(b + c + d) = ab + ac + ad

Bart applied place value along with the distributive property to express the

calculation 6(412)

His calculation can be represented as 6(412) = 6(400 + 10 + 2)

We must find out what Bart needs to do to compute the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply every component inside the brackets by 6 on the right side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should multiply each addend by 6, then calculate the total of

  (2400 + 60 + 12)

Bart needs to;

Calculate 6(400), 6(10), and 6(2)

Multiply each addend by 6

Compute the total of (2400 + 60 + 12)

Learn more:

You can find additional information regarding place value at

5 0
12 days ago
Read 2 more answers
What is the correct answer for the calculation of a volume (in ml) with measured numbers 28.58/16 x 8.02 ?
lawyer [12517]
The volume calculated is 0.22 mL.
4 0
14 days ago
A machine assembly requires two pyramid-shaped parts. One of the pyramids has the dimensions shown in the figure. The other pyra
Zina [12379]
Could you please clarify? I can't perform any calculations without knowing where this figure is and its dimensions - 
8 0
1 month ago
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