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Soloha48 [4]
3 years ago
12

In the parallelogram below, z = [ ? ]° 124° 2z+16° Helpp!

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

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inna [77]

If 120 seniors are on honor roll, and that is 1/3 of the whole class, than there are 360 students total in that grade.

6 0
4 years ago
Transformation Rule:<br> Translate 4 units right and 3 units up.<br> B<br> Х<br> A
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

                                                    → (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

                             → (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

                             → (4, -2)

Now plot these points on the graph.

6 0
3 years ago
The value of a collectible coin can be represented by the equation Y=2x+15, where x represents its age in years and y represents
muminat

Answer:

53

Step-by-step explanation:

2*19 =38

then by substituting 2x=38

then,

38+15=53

5 0
4 years ago
Read 2 more answers
In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8. 3 EndFraction)?.
almond37 [142]

The triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

<h2 /><h2>Given to us</h2>

\theta = sin^{-1}\dfrac{5}{8.3}

<h2>Sine θ</h2>

as we know that sine for any angle is the ratio of its perpendicular to the hypotenuse,  and trigonometry is only applicable to a right-angled triangle.

therefore,

\theta = sin^{-1}\dfrac{5}{8.3}\\\\sin \theta=\dfrac{5}{8.3}=\dfrac{Perpendicular}{Hypotenuse}\\

Hence, the triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

Learn more about Sine:

brainly.com/question/18055768

6 0
2 years ago
Ben was in charge of ordering 3636 pizzas for the office party. He ordered three types of​ pizza: cheese,​ pepperoni, and suprem
shutvik [7]

Answer:

Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas

Step-by-step explanation:

We can solve this problem with a equation system. I will abbreviate the amount of cheese pizzas he buyed as C, the amount of pepperoni ones as P, and the amount of supreme ones as S. I will also remove the $ notation

The system is given as follows

  • C+P+S = 36
  • 8C + 11P + 14S = 390
  • 11P = 2*(8C) = 16C

We can easily replace 11P with 16C in equation 2, obtaining

8C + 16C + 14S = 390

24C + 14S = 390

S = (390- 24C)/14 = 195/7 - 12/7 C

Note that, also from equation 3, we have that

11P = 16 C

P = 16/11 C

Now, we can obtain the value of C using equation 1 replacing S and P with the founded values

C+P+S = 36

C + 16/11 C + 195/7 - 12/7 C = 36

C + 16/11 C - 12/7 C = 36-195/7 = 57/7

Taking C as common factor we obtain

C (1+16/11-12/7) = 57/7

C * 57/77 = 57/7

C = (57/7) / (57/77) = 11

Now, we replace this value in the formula we obtain for P and S

P = 16/11 * C = 16/11 * 11 = 16

S = 195/7 - 12/7 * 11 = 63/7 = 9

Now, we verify:

  • C+P+S = 11+16+9 = 36
  • 8C + 11P + 14S = 8*11 + 11*16 + 14*9 = 88 + 176 + 126 = 390
  • 2(8C) = 2*88 = 176 = 11P

Thus, Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas.

8 0
3 years ago
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