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3 years ago

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14. In ΔABC, J is on AB, K is on BC, and JK║AC. Solve for x if JB = 5, AJ = 17, BK = x+4, and KC = 5x.

1 answer:

Zigmanuir [339]3 years ago

3 0

The answer is x=8.6 units

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Yesterday's afternoon temperature was 21°F. It plunged overnight to -3°F. How many degrees did the temperature drop? A) 3° B) 18

LiRa [457]

Answer: B) 18° C

Step-by-step explanation:

21+(-3) = 21 - 3

= 18

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2 years ago

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

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2 years ago

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You read a headline that 1 out of 5 people in the world will log onto a social network Since there at 7 billion people in the wo

Assoli18 [71]

Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

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3 years ago

PLEASE HELP!!!!! Geometry

barxatty [35]

Answer:

53°

Step-by-step explanation:

i will use ∩ to represent arc since there is no arc sign

if ∩EF = 34, then ∡EFC = 34

think of EFC as an angle in the larger circle

since EFC = 34, ABC = 34 because they are opposite angles and opposite angles are always congruent.

ABD = AB + BD = 19 + 34 = 53

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3 years ago

Unproctored Placement ASThe quadrilaterals JKLM and PQRS are similar.Find the length x of PQ.JM=5, PS=4.5, JK=3.35K4.5PheHO1.8

Pachacha [2.7K]

Given that the quadrilaterals are similar, we know that:

$\frac{JM}{JK}=\frac{PS}{PQ}.$

Substituting the given values, we get:

$\frac{5}{4.5}=\frac{3}{x}.$

Solving the above equation for x, we get:

$\begin{gathered} 5x=3(4.5), \\ x=\frac{3(4.5)}{5}. \end{gathered}$

Simplifying the above result, we get:

$x=2.7$

<h2>Answer:</h2> $x=2.7$

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8 months ago