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3 years ago

Find m∠1 if m∠5=142 and m∠4=65

Mathematics

2 answers:

Nookie1986 [14]3 years ago

8 0

Answer:

103

Step-by-step explanation:

Here, m∠5 + m∠2 = 180 [ Supplementary Angles ]142 + m∠2 = 180m∠2 = 180 - 142 = 38Now, m∠2 + m∠3 + m∠4 = 180 [ Angles in a Triangle ]38 + m∠3 + 65 = 180m∠3 = 180 - 103m∠3 = 77Again, m∠3 + m∠1 = 180 [ Supplementary Angles ]m∠1 + 77 = 180m∠1 = 180 - 77 = 103In short, Your Answer would be 103 Hope this helps!

Read more on Brainly.com - brainly.com/question/2788279#readmore

hammer [34]3 years ago

6 0

Here, m∠5 + m∠2 = 180 [ Supplementary Angles ]
142 + m∠2 = 180
m∠2 = 180 - 142 = 38

Now, m∠2 + m∠3 + m∠4 = 180 [ Angles in a Triangle ]
38 + m∠3 + 65 = 180
m∠3 = 180 - 103
m∠3 = 77

Again, m∠3 + m∠1 = 180 [ Supplementary Angles ]
m∠1 + 77 = 180
m∠1 = 180 - 77 = 103

In short, Your Answer would be 103

Hope this helps!

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Let A and B be subsets of R. (a) If x ∈ (A ∩ B)c, explain why x ∈ Ac ∪ Bc. This shows that (A ∩ B)c ⊆ Ac ∪ Bc. 12 Chapter 1. The

cupoosta [38]

Answer:

answer is -3 just subtract 4 from each side

Step-by-step explanation:

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3 years ago

A rectangle with a length of 12 cm and a width of 6 cm has an area of 72 sq cm and a perimeter of 36 cm.

frozen [14]

So we should first start off by checking for the ones with the same area, which is 72sq cm

80×90=7200sq cm so A is incorrect

8×10=80sq cm so B is incorrect

3×24=72sq cm so, so far C is correct

4×14=56sq cm so D is incorrect

And because all are incorrect except C
Then C is the correct answer, just to be sure, we will check the perimeter

24+24=48
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So the perimeter is different, making C the correct answer

5 0

3 years ago

Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weighs w pounds and

VMariaS [17]

Answer:

The answer is that the cost will be a total of: $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight and tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

3 0

3 years ago

The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.

AleksandrR [38]

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

b = 11

c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

7 0

2 years ago

if George had3 marbles more he would have twice as much as Miguel if George had 4 marbles less he would have the same amount how

mel-nik [20]

Answer:

b. 11

Step-by-step explanation:

You'll have two equations in this system. Let G represent George's marbles and M represent Miguel's marbles.

1. G+3=2M (George's marbles plus 3 equals twice of Miguel's)

2. G-4=M (George's marbles minus 4 equals Miguel's marbles)

We have an explicit M value, so we can use the substitution method. Substitute the second equation into the first for M: G+3=2(G-4).

After some algebra, you'll get G=11. George has 11 marbles.

6 0

2 years ago