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3 years ago

Please help, solve for x

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

5(x + 5) = 10 x 6

5x + 25 = 60

5x = 35

x = 7

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Four lines are drawn on a coordinate plane to form trapezoid WXYZ.

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4 years ago

If RS = 15 and ST = 9, then RT=

Lera25 [3.4K]

Rt=24 .. hope i helped

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3 years ago

For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.

maria [59]

Answer: 3. 4 $\sqrt{13}$ 4. $\sqrt{225}$

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

$4\sqrt{13}$

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64 64

b^2 = 225

$\sqrt{225}$

7 0

3 years ago

Trevor is swimming laps to raise money for the local food bank. He earns $1.85 per lap and has already swum 23 laps.

Mrac [35]

1.85x-42.55>100 is the inequality. 42.55 is the amount already raised, 1.85x is number of laps times the money raised by them.

6 0

3 years ago

What is the other square root of 119 + 120i?

MakcuM [25]

Answer:

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

Step-by-step explanation:

Given

z = 119 + 120 i

Let $\sqrt{119+120 i}=p+iq$

Squaring both sides

$119+120 i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

$q=\frac{60}{p}$

Substitute q in 1

$119=p^2-(\frac{60}{p})^2$

$p^4-119p^2-(68)^2=0$

Let $x=p^2$

$x^2-119x-4624=0$

$x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}$

$x=\frac{119\pm 180.71}{2}$

we take only Positive value because $p^2=x$

x=149.85

$p^2=149.85$

thus $p=\pm 12.24$

$q=\pm 4.90$

thus,

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

8 0

3 years ago