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Makovka662 [10]
3 years ago
7

ΔΑΒC Δ EDS What is the value of x?

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

<u>The value of x is 11 and CE = 40 and AC = 60</u>

Step-by-step explanation:

Δ ΑΒC ≅ Δ EDS, therefore we have that:

24 / 36 = 3x + 7 / 6x - 6

Solving for x,

24 * (6x -6) = 36 * (3x + 7)

144x - 144 = 108x + 252

144x - 108x = 252 + 144

36x = 396

x = 396/36

x = 11 ⇒ 3x + 7 = 33 + 7 = 40; ⇒ 6x - 6 = 66 - 6 = 60

<u>The value of x is 11 and CE = 40 and AC = 60</u>

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Mr. Williams can grade 50 essays in 7 hours. His assistant, Mr. Wilfred, can do the same job in 14 hours. His other assistant, M
Elza [17]

Answer:

13.44 or 13 11/25 hours

Step-by-step explanation:

First use this format: number of essays/hours

- they are asking if all three work together, how many hours would it take, so this means addition:

50/7 + 50/14 + 25/6 = 200/x

Second, solve:

- least common multiple: 42

300/42 + 150/42 + 175/6 = 200/x

625/42 = 200/x

- cross-multiply

625x = 8,400

x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)

5 0
3 years ago
Find the length of MP. round to the nearest hundredth.
lozanna [386]

Answer:

<h2>MP ≈ 2.98 cm</h2>

Step-by-step explanation:

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have:

opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342

Substitute:

\dfrac{MP}{8.7}=0.342

\dfrac{MP}{8.7}=\dfrac{342}{1,000}              <em>cross multiply</em>

1,000MP=2975.4             <em>divide both sides by 1,000</em>

MP=2.9754\to MP\approx2.98

6 0
3 years ago
If you know the area and the base of a triangle, how can you find the height?
Y_Kistochka [10]

Answer:    do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

3 0
3 years ago
PLEASE HELP!! NO LINKS!!
dlinn [17]

Answer:

42.1 cm

Step-by-step explanation:

θ = 265°

Radius (r) = 9.1 cm

Arc length of major arc GH = θ/360 × 2πr

Plug in the values into the equation

Length of arc GH = 265/360 × 2 × π × 9.1

= 42.0886149

= 42.1 cm (nearest tenth)

6 0
3 years ago
-4(y-2)=12<br> what is the answer
AysviL [449]

Answer:

y=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(y−2)=12

Step 1: Simplify both sides of the equation.

−4(y−2)=12

(−4)(y)+(−4)(−2)=12(Distribute)

−4y+8=12

Step 2: Subtract 8 from both sides.

−4y+8−8=12−8

−4y=4

Step 3: Divide both sides by -4.

−4y

−4

=

4

−4

y=−1

3 0
3 years ago
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