All categories

2 years ago

Help me please. I kinda need it right now.!

Mathematics

2 answers:

Anarel [89]2 years ago

7 0

Answer:

x = 126

y = 26

z = 8

Step-by-step explanation:

6z + 6 + 126 = 180

6z + 132 = 180

6z = 180 - 132

6z = 48

z = 8

6z + 6 + 5y - 4 = 180

6(8) + 6 + 5y - 4 = 180

48 + 2 + 5y = 180

50 + 5y = 180

5y = 180 - 50

5y = 130

y = 26

x = 126 (Because of alternate exterior angles thm)

Maru [420]2 years ago

6 0

Step-by-step explanation:

Given

$5y - 4 = 126(corresponding \: angles) \\ 5y = 126 + 4 \\ 5y = 130 \\ y = 130 \div 5 \\ = 26$

Also given

$126 + (6z + 6) = 180(angles \: on \: a \: straight \: line) \\ 132 + 6z = 180 \\ 6z = 18 0 - 132 \\ 6z = 48 \\ z = 48 \div 6 \\ = 8$

Lastly,

$x = 180 - 126 \\ = 54(angles \: on \: the \: same \: straight \: line \: and \: corresponding \: angles)$

You might be interested in

I’ve been stuck on this question for an hour? I need help ASAP! Thanks! What is the total surface area of the trapezoidal prism?

CaHeK987 [17]

Answer:

262mmsq

Step-by-step explanation:

7 0

3 years ago

A cohort study was conducted to study the association of coffee drinking and anxiety in a population-based sample of adults. Amo

azamat

Answer: Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

Step-by-step explanation:

Since we have given that

Number of coffee drinkers = 10000

Number of whom developed anxiety = 500

Number of non coffee drinkers = 20000

Number of whom developed anxiety = 200

So, probability of getting anxiety from coffee drinkers = $\dfrac{500}{10000}=0.05$

Probability of getting anxiety from non coffee drinkers = $\dfrac{200}{20000}=0.01$

so, Relative risk of anxiety associated with coffee use is given by

$\dfrac{0.05}{0.01}=5$

Hence, Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

6 0

2 years ago

A train is traveling at a constant speed and goes 17 kilometers in 8 minutes. How far will the train travel in 60 minutes.

allsm [11]

Answer:

Distance B = 1275 kilometers.

Step-by-step explanation:

Let the two distances and time be A and B respectively.

Given the following data;

Distance A = 17 kilometers.

Time A = 8 minutes.

Distance B =?

Time B = 60 minutes.

First of all, we would find the constant speed;

Speed = distance/time

Substituting into the equation, we have;

Speed = 17/8

Speed = 2.125 km/m

Now, to find the distance B;

Distance B = speed * time

Distance B = 2.125 * 60

<em>Distance B = 1275 km</em>

3 0

2 years ago

Find the distributive property to factor out the greatest common factor of 55 + 35

Ad libitum [116K]

Answer:

Step-by-step explanation:

55 = 5 · 11

35 = 5 · 7

GCF(55, 35) = 5

The distributive property <em>a(b + c) = ab + ac</em>

Therefore

55 + 35 = 5 · 11 + 5 · 7 = 5 · (11 + 7)

8 0

2 years ago

How much should you put in an investment paying simple interest rate of 8% if you need 4000 in six months?

Nadusha1986 [10]

The amount you should put is 3846

<h3>How to determine the principal amount?</h3>

The given parameters are:

Amount, A = 4000

Rate, r = 8%

Time = 0.5 year i.e. 6 months

The amount on simple interest is calculated as:

A = P(1 + RT)

This gives

4000 = P * (1 + 8% * 0.5)

Evaluate the product

4000 = P * (1 + 0.04)

Evaluate the sum

4000 = P * (1.04)

Divide both sides by 1.04

P= 3846

Hence, the amount you should put is 3846