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lions [1.4K]
3 years ago
8

The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘, and (x+5)∘. What is x?

Mathematics
1 answer:
Lorico [155]3 years ago
6 0
The sum of the exterior angles is 360 deg. Each interior angle is supplementary to its corresponding exterior angle, so

(180-x)^\circ+(180-x-1)^\circ+(180-x-2)^\circ+(180-x-3)^\circ+(180-x-4)^\circ+(180-x-5)^\circ=(1065-6x)^\circ=360^\circ

So you have

1065-6x=360\implies 6x=705\implies x=\dfrac{235}2=117.5
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Each of 5 birdwatchers reported seeing 15 roseate spoonbills in a day. If they each reported seeing the same nunber of roseate s
LuckyWell [14K]
Each of the 5 saw 15 birds a day, so they saw 75 each day for 14 days. 75 times 14 is 1,050. They saw in total, 1,050 birds.
4 0
4 years ago
Sara has 24 sweets
Tresset [83]
<h2>Hello!</h2>

The answer is:

The expression for the number of sweets that Sara and Tim have now, are:

Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

<h2>Why?</h2>

To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:

Sara starts with 24 sweets and Tim starts with 24 sweets

Sara=24 Sweets\\Tim=24 Sweets

Then, Sara gives Tim x Sweets

Sara=(24-x)Sweets\\Tim=(24+x)Sweets

Then. Sara eats 7 of her Sweets

Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets

Then, Tim eats half of his sweets

Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

So, the expression for the number of sweets that Sara and Tim have now, are:

Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}

Have a nice day!

8 0
3 years ago
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
Read 2 more answers
(2x-6)(x+11)<br><br>a)x2-66x+16<br><br>b)x2+16x+11<br><br>c)2x2+16x-66<br><br>d)2x2+11x-66
natka813 [3]
The answer to your math problem is C. The reason being is 2x times x is 2x^2 and 2x times 11 is 22x. So you first part of the problem looks like 2x^2+22. Then -6 times x is -6x and -6 times 11 is -66. So now the problem is 2x^2+22x-6x-66. So your answer after solving it is 2x^2+16x-66.
3 0
3 years ago
Can someone please help me I’m desperate it due tomorrowwww
zlopas [31]

Answer:

Step-by-step explanation:

First box: m=1/2

Second box: m=2

Third box: m=1

Fourth box: m=2

5 0
3 years ago
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