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earnstyle [38]
3 years ago
11

What does this mean.

Mathematics
1 answer:
Trava [24]3 years ago
6 0

for instance leat a e A' means let a be an element of A

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The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parall
Margaret [11]
5 : 7 = 5x : 7x

Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.

5x+7x=180
12x = 180
x= 15

5x=15*5 = 75⁰
7x=15*7 = 105⁰

Two angles are 75⁰ each,
and 2 angles 105⁰ each.

Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True

</span>
4 0
4 years ago
Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER S
kirill115 [55]
First the difference between the perimeter and area is that area is the amount of space inside a shape, and perimeter is the distance around the shape
^thats what they measure
And since perimeter is a length or distance, the unit of measure is inches, feet, yards, or miles. The area is usually found by doing l x w
Hope this helped
5 0
4 years ago
The sum of 7/3 and four times a number is equal to 2/3 subtracted from five times the number?
Artyom0805 [142]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
Im giving 100 Points to anyone who could solve this for me please.
myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}

\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}

\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)

\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}

\implies \sf BD=29\tan(30^{\circ})

\implies \sf BD=\dfrac{29\sqrt{3}}{3}

\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}

\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}

\implies \sf AB=27.2\:(nearest\:tenth)

\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}

\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}

\implies \sf AD=21.4\:(nearest\:tenth)

\implies \sf AC=AD+DC=21.4+29=50.4

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

8 0
2 years ago
Jamal used his abingdon you buy 15 pounds of flour at 0.42 per pound, 8 pounds of utter the 3.99 per pound, 1 pound of salt at 0
madreJ [45]
15 x .42=      $ 6.30 Flour
8 x 3.99 =    $31.92 Utter
1 x .67 =            .67 Salt
30 x 1.49 = $ 44.70 Apples

Total =  $83.59  
Dollar amount is $83
Change amount is .59
If Jamal had $84.00 to spend his change was .41
8 0
3 years ago
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