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pantera1 [17]
2 years ago
12

Evaluate the variable expression x + y + z for x = –17.17, y = 34, and z = –3.9264.

Mathematics
1 answer:
lapo4ka [179]2 years ago
6 0
The answer is 
12.9036

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ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

brainly.com/question/14327552

3 0
2 years ago
Lydia recorded the grade-level and instrument of everyone in the middle school School of Rock below.
neonofarm [45]

Answer:

31/42

Step-by-step explanation:

there are 42 students in 8th grade

31 dont play keyboard so 31/42 = 73.8% chance

6 0
2 years ago
What is the solution to 9x−6&lt;21?
Alisiya [41]

Answer:

x > 3

Step-by-step explanation:

1) Add 6 to both sides.

9x > 21 + 6

2) Simplify 21 + 6 to 27.

9x > 27

3) Divide both sides by 9.

x >  \frac{27}{9}

4) Simplify 27/9 to 3.

x > 3

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>option</u><u> </u><u>B</u><u>.</u><u> </u><u>x</u><u> </u><u>></u><u> </u><u>3</u>.

7 0
2 years ago
Evaluate 1x + y, for x = 8 and y=-15.<br> 7 <br> -7<br> 23<br> -23
statuscvo [17]

Answer:

B) -7

Step-by-step explanation:

x+y

8+(-15)=8-15=-7

5 0
2 years ago
Grade 6 students sold 318 tickets for a school pay. The number of adult tickets was six
9966 [12]
Total: 318
Student tickets: x
Adult tickets: 3x+6

x+(3x+6)=318 -> 4x+6=318 -> 4x=312 -> x=78

3(78)+6 = 234+6 = 240

240 adult tickets were sold
8 0
3 years ago
Read 2 more answers
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