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UkoKoshka [18]
3 years ago
8

∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

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Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor
olganol [36]

Answer:

Lily babysit for <u>less than 4 hours</u>.

Step-by-step explanation:

Given:

Lucy spends in a week babysitting for 4 hours.

Lily spends seven-eighths of 4 hours.

Now, to find whether Lily babysit for more than 4 hours or less than that.

Number of hours Lucy babysit = 4 hours.

So, to get the hours Lily babysit:

\frac{7}{8}\ of\ 4\ hours.

=\frac{7}{8}\times 4\\\\=\frac{28}{8} \\\\

<em>On simplifying we get:</em>

=\frac{7}{2} \\\\=3\frac{1}{2}\ hours.

<u><em>Thus, Lily spends </em></u>3\frac{1}{2}\ hours<u><em>  for babysitting which is less than 4 hours.</em></u>

Therefore, Lily babysit for less than 4 hours.

4 0
3 years ago
EXTRA POINTS PLEASE HELP I'LL GIVE BRAINLIEST<br> Please write a 2 column proof :)
lidiya [134]

Answer:

Step-by-step explanation:

1). segment AB ≅ segment AE ......... 1). Given

2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs

3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem

4). segment BG ≅ segment EF ........ 4). Definition of midpoints

5). segment BC ≅ segment ED ......... 5) Given

6). segment CD ≅ segment DC ....... 6). Reflexive property

7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts

8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate

9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs

10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem

7 0
3 years ago
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads abou
san4es73 [151]

Answer:

h(x) * s(x) = 200(1.05)^(x - 1)

Step-by-step explanation:

Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:

A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time

Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.

Thus, to combine these, we simply multiply them together to get:

h(x) * s(x) = 200(1.05)^(x - 1)

4 0
3 years ago
Read 2 more answers
10. Jessica had dance class for 3 hours last night, Tiffany had dance class for of time that Jessica had dance class. How long d
Stolb23 [73]

Answer:

i think theres a typo somewhere

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Help me in all of these,plz show your work
jenyasd209 [6]
To find the area of all of the figures, all you need to do is base x height or the length x width.
Your answers for 1-6 are all correct.
For 7-9, remember that the area is the length times the width. 
7) length x width, 42 x 30=1260 
8) 17 x 22= 374
9) Since the length and width are the same in a square just multiply the side by itself. 2.7 x 2.7= 7.29
Hope this helps.
5 0
3 years ago
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