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3 years ago

Work out the size of angle x.

Mathematics

2 answers:

Alexeev081 [22]3 years ago

8 0

Answer:
13

Explanation:
85 is vertical
98 vertical
180 - 98 = 82
82 vertical
85 + 82 = 167
180 - 167 = 13

Angelina_Jolie [31]3 years ago

7 0

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

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The weather forecaster says that there is a 51% chance of rain today. Which statement describes the likelihood that it will rain

vaieri [72.5K]

Answer:

It is neither likely nor unlikely that it will rain today.

Step-by-step explanation:

3 0

3 years ago

What is the number of times a base is multiplied by its self indicated by an exponent

lozanna [386]

The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.

Let's say we had the expression $5^3$

The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.

The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

$5^3 = 5*5*5 = 125$

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.

5 0

3 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

4 years ago

Shanley would like to give $5 gift cards

Serjik [45]

Answer:

$5x + $4y ≤ $120

let x = 10

y = 5

$70 ≤ 120

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater or equal to

≤ means less than or equal to

the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤

$5x + $4y ≤ $120

let x = 10

y = 5

(50) + 20 ≤ 120

$70 ≤ 120

4 0

3 years ago

X+2=-12<br><br> Help ASAP!<br> PLEASE!

Lena [83]

Hey there!

Answer = -14

Explanation:

Let's solve your equation step-by-step.

x + 2 = -12

Subtract 2 from both sides:

x + 2 - 2 = -12 - 2

x = -14

So therefore, that is how you found your answer: x = -14

5 0

3 years ago