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Ivanshal [37]
3 years ago
14

Among two supplementary angles the measure of the larger angle is 400 more than the

Mathematics
1 answer:
pogonyaev3 years ago
4 0

9514 1404 393

Answer:

  70° and 110°

Step-by-step explanation:

The sum of angles is 180°; their difference is 40°. So, the larger is ...

  (180° +40°)/2 = 110°

The smaller is 180° -110° = 70°

The two angles are 70° and 110°.

_____

Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...

  a + (a-d) = s . . . . the sum of the larger and smaller angles

  2a = s+d . . . . . .  add d

  a = (s+d)/2 . . . . the relation we used.

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A truck traveled 205 miles in 3/12 hours. The distance is the product of the rate and the time. To the nearest tenth, what is th
Rufina [12.5K]

Distance = rate*time, or

distance = (average speed)* time, so

average speed = distance/ time.

average speed = 205 mi / (3/12) h = 205 mi/ (1/4)h = 205*4 mi/h=

= 820 mi/h

It is looks to high for speed of the truck,

probably time should be 3.12 h,

then

average speed = 205 mi / (3.12) h ≈ 65.71 mi/h.

That looks close to real life.



8 0
3 years ago
T.J. wrote the following paragraph for an essay in his social
Kisachek [45]

Answer:

Studying a foreign language improves knowledge of English and vocabulary.

Step-by-step explanation:

6 0
3 years ago
Find the coordinates of the intersection of the diagonals of parallelogram WXYZ with the following vertices: W (-1, 7), X (8, 7)
Nataliya [291]
The intersection of the diagonals of a parallelogram is always the midpoint of each of the diagonals, which means all we have to do is grab two opposite vertices and average their coordinates. 

<span>Let's use W and Y. </span>

<span>(-1 + 6)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>So our point is (2.5,2.5) </span>

<span>We could also use X and Z. </span>
<span>(8 + -3)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>Again, we get (2.5,2.5)</span>
6 0
3 years ago
The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?
Pie
Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 To graph y = f (x) -k, move the graph of k units down.
 We have then:
 f (x) = 2 ^ x
 g (x) = f (x) + k
 if k = 2
 then,
 the graph of g (x) is shifted vertically 2 units up

 Answer:
 
the graph of g (x) is shifted vertically 2 units up
7 0
3 years ago
Read 2 more answers
A triangle has a base of 15 feet and height of 9.5. what is the area of the triangle
enot [183]

Answer:

71.25ft

Step-by-step explanation:

A=hbb

2=9.5·15

2=71.25ft²

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3 years ago
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