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Elan Coil [88]
2 years ago
14

In the figure below, XZ=35 and YZ=17. Find XY.

Mathematics
2 answers:
taurus [48]2 years ago
7 0

\sf \: XZ=XY+YZ \\  \tt \: [by \: segment \: addition \: postulate]

\bf \: 35=XY+17

\bf \: 35 - XY = 17

\bf \:   - XY = 17 - 35

\bf \:  - XY =  - 18

\boxed{ \rm \: XY = 18}

balandron [24]2 years ago
4 0

Answer:

XY = 18

Step-by-step explanation:

XY → XZ - YZ      [ here given XZ is 35 and YZ is 17 ]

XY → 35 - 17        [ subtracting ]

XY → 18               [ final answer ]

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julia-pushkina [17]
Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.

If the domain has already been restricted to x \geq -11, we can work backwards to add 11 to both sides. We see that x+11 must be under the radicand, so the answer is A.
7 0
3 years ago
One hiking club charges $16 to become a member and $3 to participate on each hike. Another club charges no membership fee, but c
yawa3891 [41]

Answer:

x < 8

Step-by-step explanation:

x= # of hikes

3x +16 =5x

-3x. -3x

16=2x

16/2= 8

2x/2= x

8=x

x=8

check:

3(8) +16 =5(8)

24 +16 =40

40=40 ✓

there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.

7 0
3 years ago
A number increased by 4 is the same as 19-2 times the number
MrRissso [65]
19 - 2 = 17 17 - 4 = 13 number = 13
4 0
4 years ago
Chet started to slow his eating speed down later in the evening. He was
ozzi

Answer:

The unit rate is:

  • 1/8 turkey/per hour.

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat  175  1/4 of a turkey.

  • Unit rate basically means 'how much of something per 1 unit of something else'.

A unit rate is a rate with a denominator of  1  unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat \frac{\frac{1}{4}}{2}=\frac{1}{8} of a turkey in 1 hour.

i.e.

\frac{\frac{1}{4}}{2}=\frac{1}{8}

Therefore, the unit rate is:

  • 1/8 turkey/per hour.

6 0
2 years ago
On easter morning 20 eggs were hidden kyla found 1/2 of them kevin found 1/4 of them what fraction of eggs were left to find
kotykmax [81]
\frac{1}{2}*20= 10 &#10; and \frac{1}{4}*20= 5
This means that Kayle found 10 eggs while Kevin found 5 eggs.
so 20-(10+5)= 5 eggs left.
To find the fraction, divide the number of eggs left over the number of total eggs.
Fraction= \frac{5}{20}= \frac{1}{4}

Hope this helps!
3 0
4 years ago
Read 2 more answers
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