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ikadub [295]
3 years ago
7

If the measures of two opposite angles of a parallelogram are represented by 3x+40 and x+50 what is the measure of each angle of

the parallelogram
Mathematics
1 answer:
baherus [9]3 years ago
8 0
Opposite angles in a parallelogram are congruent, so 3x+40 = x+50 and x = 5.  That means that those 2 angles measure 3(5)+40 = 55, and the other 2 angles, which are congruent to each other, add up with the other to equal 360. 360-55-55=250.  Divide that between the other 2 remaining angles to get that those angles each measure 125.
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352 ft is ____ % of 2 mi; 2 mi is ____ % of 352 ft
Alexus [3.1K]

Answer:

352 ft is <u>3.34</u>% of mi ;

2 mi is <u>3000</u>% of 352 ft

Step-by-step explanation:

To calculate : 352 ft is ___% of 2 mi and 2 mi is ___% of 352 ft.

We can calculate first:

352 is x% of 2 mi.

Solve for x;

Use conversion:

1 mi = 5280 ft

2 mi = 10560 ft

x% of 10560 ft means \frac{x}{100} \times 10560 = 105.60 x

then, our equation become;

352 = 105.6 x

Divide both sides by 105.6 we get;

x = 3.333333...

or

x ≈3.34

Similarly, for

2 mi is y% of 352 ft

Solve for y;

2 mi = 10560 ft

y% of 352 = \frac{y}{100} \times 352 = 3.52y

then;

10560 = 3.52 y

Divide both sides by 3.52 we get;

y = \frac{10560}{3.52}

y = 3000

Therefore; 352 ft is 3.34% of mi ; 2 mi is 3000% of 352 ft



8 0
3 years ago
Solve the formula A=1/2h(a+b) for a
Naya [18.7K]

\bf A=\cfrac{1}{2}h(a+b)\implies A=\cfrac{h(a+b)}{2}\implies 2A=h(a+b) \\\\\\ \cfrac{2A}{h}=a+b\implies \cfrac{2A}{h}-b=a

7 0
3 years ago
One half Of a certain even integer plus One fifth Of The next consecutive even interger equals 48. Find The two intergers.
yaroslaw [1]
The integers are 68 and 70.

One half of 68 is 34.
One fifth of 70 is 14.
34 + 14 = 48 and 68 and 70 are consecutive even integers.
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3 years ago
(<img src="https://tex.z-dn.net/?f=%28%5Csqrt%7B6%7D%20%2B%5Csqrt%7B3%7D%29%28%5Csqrt%7B2%7D-2%29" id="TexFormula1" title="(\sqr
Marta_Voda [28]

Answer:

-2.453

Step-by-step explanation:

sqrt(6) * sqrt(2) = 3.461

sqrt(6) * -2 = -4.899

sqrt(3) * sqrt(2) = 2.449

sqrt(3) * -2 = -3.464

sum of numbers equals

-2.453

7 0
3 years ago
When 6 is added to a certain number, the result is 19. Determine the<br>number.​
aev [14]

Answer:

the answer is 13 hope that helps:)

7 0
4 years ago
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