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katen-ka-za [31]
3 years ago
13

32°45°48°20°FIND WZC

Mathematics
2 answers:
9966 [12]3 years ago
7 0

Answer:

m∠WZC=48°

Step-by-step explanation:

we know that

If ZC is an altitude

then

Triangle YZC is a right triangle

therefore

m∠CYW+m∠WZC=90° ----> by complementary angles

substitute

(5x+22)°+(12x)°=90°

17x=(90-22)°

x=4°

Find the measure of angle WZC

m∠WZC=(12x)°=12*4=48°

gayaneshka [121]3 years ago
3 0

Answer:

  48°

Step-by-step explanation:

In triangle CYZ, angles Y and C are complementary, so ...

  (5x +22) + (12x) = 90

  17x +22 = 90

  17x = 68

  x = 4

The angle of interest is 12x° , so has measure

  12·4° = 48°

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A girl has 98 beads, and all but 14 were lost. how many beads did she loose?<br>​
castortr0y [4]

Answer:

84 beads

Step-by-step explanation:

She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost

8 0
3 years ago
Brady studied 1.5 hours on Monday, 0.75 hours on Tuesday, 1.25 hours on Wednesday, and 1 hour on Thursday. How
Advocard [28]

Brady studied for 4.5 hours that week

How we determine the total study hours?

The total study hours for Brady is the sum of the hours used in studying on Monday, Tuesday, Wednesday and Thursday.

He studied for 1.5 hours on Monday

He studied for 0.75 hours on Tuesday

He studied again for 1.25 hours on Wednesday

Lastly, he studied for 1 hour on Thursday, the last day

Total number of study hours=1.5+0.75+1.25+1

Total number of study hours=4.50

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8 0
2 years ago
Which point on the graph below is included in the solution to the following system of equations?
monitta

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

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5 0
2 years ago
The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in t
Mekhanik [1.2K]

Given:

The shaded sector above covers \dfrac{1}{3} of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

A=\pi r^2

Substituting r=3, we get

A=\pi (3)^2

A=9\pi

It is given that the shaded sector above covers \dfrac{1}{3} of the circle.

The area of shaded sector =\dfrac{1}{3}A

                                             =\dfrac{1}{3}(9\pi)

                                             =3\pi

Therefore, the area of shaded sector is 3π sq. cm.

5 0
3 years ago
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