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spayn [35]
3 years ago
14

The lines a and b intersect at point D. What is the value of z?

Mathematics
2 answers:
Vesna [10]3 years ago
8 0
5z+8=4z+20

5z-4z=20-8

z=12
MrRissso [65]3 years ago
5 0

Answer:

The value of the z is 12 .

Step-by-step explanation:

Definition of vertically opposite angle .

Vertically opposite angles is defines angles opposite to each other when two lines cross eachother .

Thus

(5z + 8)° = (4z + 20)°

(5z + 8) = (4z + 20)

Open the bracket

5z + 8 = 4z + 20

5z -  4z = 20 -8

z = 12

Therefore the value of the z is 12 .


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Quotient of 1/2 ÷ 5, reduced to lowest terms
kirill [66]

Answer:

1/10

Step-by-step explanation:

1/2 x 1/5= 1/10

8 0
2 years ago
What is the circumference of the circle defined by x^2+6x +y^2-12y-4=0.
KengaRu [80]

Answer:

44.0

Step-by-step explanation:

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5 0
3 years ago
2. Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 more than Seiji. (a)
Alja [10]
Let Gavin be G
Let Seiji be S

G + S = 425
G = 25 + S


I can't really graph, but plug in some numbers to G and S that works in BOTH equations. Then graph it.

G + S = 425
G = 25 + S

(25 + S) + S = 425
2S + 25 = 425
2S + 25 (-25) = 425 (-25)
2S = 400
2S/2 = 400/2
S = 200

Seiji made 200 dollars

Now choose one of the equations to use (the easier the better) in this case i will choose this one:

G = 25 + S

pug in 200 into S (because that is how much Seiji made)

G = 25 + (200)
G = 225

Seiji made 200, Gavin made 225

200 + 225 = 425, which is the total amount the made

hope this helps
7 0
3 years ago
A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.
Karo-lina-s [1.5K]

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

8 0
1 year ago
How are you today says me, And my twwwitteer is the value of (john12611092) witch equals
Advocard [28]

Answer:

thankyou for points

Step-by-step explanation:

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7 0
3 years ago
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