All categories

3 years ago

Given the figure below find the values of x and z (12x +2)° 94° z°

Mathematics

2 answers:

MAXImum [283]3 years ago

6 0

Answer:

z = 94

x = 7

Step-by-step explanation:

The angle with a measure of 94° and the angle labeled "z" are vertical angles

Vertical angles are congruent ( equal to each other )

Which means that because "z"s vertical angle = 94° z also equals 94°

The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles

Supplementary angles add up to equal 180

Hence, 94 + 12x + 2 = 180

^ (Note that this is the equation we will use to solve for x )

Now we solve for x

94 + 12x + 2 = 180

step 1 combine like terms

94 + 2 = 96

we now have 180 = 96 + 12x

step 2 subtract 96 from each side

180 - 96 = 84

96 - 96 cancels out

we now have 84 = 12x

step 3 divide each side by 12

84 / 12 = 7

12x / 12 = x

we're left with x = 12

GrogVix [38]3 years ago

3 0

Answer:

z = 94

x = 7

Step-by-step explanation:

You might be interested in

How are the values of eights related in 880?

marin [14]

The relationship between 8’s in the value of 880 shows their numerical order in the number. In which to further elaborate we shall break down the number into its expanded form and word form: 
1. 800 = six hundred and 80 = eighty
2. eight hundred eighty

3 0

3 years ago

Please help meeee “which of the following represents a relation and not a function”

Minchanka [31]

Realtions that are not functions is when a x value has multiple y values, the last one has the X value that has multiple y values

6 0

3 years ago

3 Which expression is equivalent to 7 0,5 0,6 125y3 1255

AleksAgata [21]

I’m pretty sure it would be 0,5 but if not look up calculator soup and type your question and it should give you a whole list of everything equivalent to it!

3 0

3 years ago

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 95 − 0.18 cos(πt/12), where t is the time in hours me

11111nata11111 [884]

Answer:

2280 kcal

Step-by-step explanation:

The given function R(t) is periodic with a period of 24 hours, so the integral is the product of the average value (95 kcal/h) and the 24-hour interval:

(95 kcal/h)(24 h) = 2280 kcal

5 0

3 years ago

Which problem is solved using this model? 15÷15 3÷115 3÷15 15÷15 https://static.k12.com/nextgen_media/assets/1503272-MAT

Pie

Answer:

As the model is shown below.

As per model a thing is divided into five parts.There are three things and each one of them is being divided into five equal parts.

The value of fifth part of each of them is 1/5.

If we consider each part of a thing as one,

So, total number of parts = 15

Total thing=3

So, the answer of the above model is 3÷ 15.

Out of all the options which are 15÷15 , 3÷115 , 3÷15, 15÷15 →3÷15 is correct.

5 0

2 years ago