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madam [21]
2 years ago
10

Add.

Mathematics
1 answer:
VladimirAG [237]2 years ago
5 0
The answer to this question is 14 3/4
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Figure TUVS is a parallelogram.
poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

5 0
2 years ago
Whats the simplified ratio if 4 : 22 : 30
masya89 [10]
On dividing all the three ratios with 2 u can simplify it as

2:11:15

Hope it helps.
Dont forget to say thx if it helps
6 0
3 years ago
Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res
DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot  =   $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = \frac{5}{100}  \times m = 0.05 m

So, the profit in gold bullion  =  0.05 m

and 3% on (150,000 -m)   = \frac{3}{100}  \times  (150,000 -m) = 0.03  (150,000 -m)

= 4,500 - 0.03 m

So, the profit in bank =  4,500 - 0.03 m

Now,  the total profit  = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m +  4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion  =  m = $50,000

3 0
3 years ago
Work out the value of angle x
AleksandrR [38]

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

5 0
3 years ago
Read 2 more answers
X^2 + y^2=40 and y=x-4 solve this simultaneous equation
inn [45]
Write x-4 instead of y.
x²+(x-4)²=40
x²+x²-8x+16=40
2x²-8x-24=0
x²-4x-12=0
(x-6)(x+2)=0
x=6 or x=-2

for x=6, y=6-4 = 2
for x=-2, y=-2-4 = -6
3 0
3 years ago
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