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e-lub [12.9K]
3 years ago
6

Quadrilateral mntu below is a parallelogram. if m∠u = 5x and m∠t = 2x – 9, what is the measure of ∠t?

Mathematics
1 answer:
frez [133]3 years ago
7 0
1. A property a parallelogram must have is that adjacent angles must be supplementary, they add up to 180º. We are given the values of the adjacent angles U and T. Their sum must add up to 180º. Solve for x. 
<span>U + T = 180 </span>
<span>5x + 2x - 9 = 180 </span>
<span>7x - 9 = 180 </span>
<span>7x = 189 </span>
<span>x = 27 </span>
<span>Substitute this value of x for itself in angle T. </span>
<span>T = 2(27) - 9 </span>
<span>T = 54 - 9 </span>
<span>T = 45, (D) is the answer </span>
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The area of the city of Vancouver is 115 km^2. if the shape of Vancouver is approximately a square, how wide is the city of Vanc
Dmitry [639]

Answer:

The wide of the city is 10.7km

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 115 km²

s = side

a = s * s

now we replace with the known values

115 km² = s * s

115 km² = s²

√(115 km²) = s

10.724km = s

Round to the nearest tenth

s = 10.724km = 10.7km

The wide of the city is 10.7km

5 0
3 years ago
If an item costs $45 and we must pay 6% sales tax, how much will we pay for the item?
Gennadij [26K]

$47.70

$45 with 6% sales tax

6%=.06

To find total amount multiply by 1.06 or multiply by .06 and that is tax amount and then add it to the $45

$45*.06=2.70 amount of tax

$45*1.06=47.70 total amount paid

Any questions feel free to ask. Have a great day!

4 0
3 years ago
Read 2 more answers
If Elizabeth gets $5 per hour to babysit plus $4 extra for putting the children to bed, write a flrmula that could be used to fi
Rzqust [24]
I hope this helps

Answer is 5H+4=A
7 0
3 years ago
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I NEED HELP!!! You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the balance of the acco
Y_Kistochka [10]
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
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Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
5 0
3 years ago
One of Canada's tallest trees is a Douglas fir on Vancouver Island. The angle of elevation measured by an observer who is 78 m f
kkurt [141]

Answer:

93 m

Step-by-step explanation:

We solve this above question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = Height of the tree = ?? = x

Adjacent = Distance from the base of the tree = 78m

θ = 50°

Hence:

tan 50 = x/78

Cross Multiply

x = tan 50 × 78

x = 92.956780222m

Approximately = 93 m

Therefore, the tree is 93 meters tall

6 0
3 years ago
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