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IrinaK
1 month ago
10

Given: m∠ELG = 124° Prove: x = 28 3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L

. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees. Complete the steps in the two-column proof.
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
7 0
The first assertion is the angle addition postulate

The second assertion is 2x = 56

PIT_PIT [12.4K]1 month ago
4 0
The first assertion is the angle addition postulate

The second assertion is 2x = 56

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Sam receives the following scores on his English tests: 63, 84, and 96. What average score does he need on the last two tests in
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Sam needs to score 97 on his upcoming test to keep his average at 85. If you total 63, 84, 96, and 97, the sum is 340. Dividing 340 by four test scores yields an exact average of 85.
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2 months ago
I can buy 4 basketballs for $44. At that same rate, how much would 8 basketballs cost
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$88.00 Step-by-step explanation:
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1 month ago
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Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =
AnnZ [12381]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x

\implies 3x+2y-2z-8=0\hfill (1)

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0
2 months ago
Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the ori
PIT_PIT [12445]

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

y=a(1-r)^x

Where a signifies the starting quantity (a=30), r is the decay rate (r=0.12) and x denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

y=30(1-0.12)^x\\y=30(0.88)^x

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

3 0
2 months ago
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