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3 years ago

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Mathematics

2 answers:

ohaa [14]3 years ago

6 0

C because you add the angles together

Novay_Z [31]3 years ago

5 0

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

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The angle measures are represented by algebraic expressions.

Anuta_ua [19.1K]

Answer:

The value of x is 0.5

The value of y is 0.8

The value of z is 0.9

Step-by-step explanation:

* Lets explain how to find the values of x , y and z

- From the attached figure

# $l_{1}$ and $l_{2}$ intersect each other at a point

- When two lines intersect each other at a point they formed

congruent vertical opposite angles

∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°

because thy are vertical opposite angles

∴ 50z + 13 = 80z - 14

- Add 14 to both sides

∴ 50z + 27 = 80z

- Subtract 50z from both sides

∴ 27 = 30z

- Divide both sides by 30

∴ $z=\frac{27}{30}=\frac{9}{10}=0.9$

* The value of z is 0.9

- From the attached figure

# The angles of measures (50z + 13)° and (45x + 19/2)° have sum

of 90°

∴ 50z + 13 + 45x + 19/2 = 90

∵ z = 0.9

∴ 50(0.9) + 13 + 45x + 19/2 = 90

∴ 45 + 13 + 45x + 9.5 = 90

- Add like term in the left hand side

∴ 67.5 + 45x = 90

- Subtract 67.5 from both sides

∴ 45x = 22.5

- Divide both sides by 45

∴ x = 0.5

* The value of x is 0.5

- From the attached figure

# There is a ray perpendicular to line $l_{1}$

∴ The measure of the angle whose measure (225y/2)° is 90°

∴ $\frac{225y}{2}=90$

- Multiply both sides by 2

∴ 225y = 180

- Divide both sides by 225

∴ $y=\frac{180}{225}=\frac{4}{5}=0.8$

* The value of y is 0.8

8 0

4 years ago

A chemist has 5 1/10 kg of calcium chloride. If she uses 0.15 kg of the compound each time she performs and experiment, for how

Licemer1 [7]

Answer:

5 1/10 ÷ .15 is 34 so she will be able to perform 34 experiments

7 0

3 years ago

The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa

vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:

(-1,14)

14 = a*(-1)^2 + b*(-1) + c

(2,-7)

-7 = a*2^2 + b*2 + c

(5, 8)

8 = a*5^2 + b*5 + c

Rearranging:

a - b + c = 14

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1 -1 1

4 2 1

25 5 1

x =

b =

-7

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =

0.055555556 -0.111111111 0.055555556

-0.388888889 0.444444444 -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

-9

So, a = 2, b = -9, c = 3

5 0

3 years ago

What is 5 + 5 + 5 + 5 + 6 + 7 + 5 + 6 + 4 + 4+ 4 + 6+ 3 + 3 + 1 + 9?

elena-14-01-66 [18.8K]

Answer:

5,555,675,644,463,319

Step-by-step explanation:

plz mark brainly

JK 78 LOL

7 0

3 years ago

Read 2 more answers

A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15 53

Helen [10]

Answer:

f(-1) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5(2 - x)

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-1) = 5(2 - -1)
(Parenthesis) Subtract: f(-1) = 5(3)
Multiply: f(-1) = 15

5 0

3 years ago

Read 2 more answers