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Keith_Richards [23]
3 years ago
10

Two angles are complementary. one contains 30° more than the other. find both angles. the measures of the angles are degrees.

Mathematics
2 answers:
WITCHER [35]3 years ago
8 0
30 & 60 

would be the answer to your question
miskamm [114]3 years ago
6 0

Answer: Our two are angles are

30\textdegree\ and\ 60\textdegree

Explanation:

Since we have given that

There are two complementary angles

Complementary angles are those angles whose sum is 90\textdegree

Let first angle be x

Let second angle be x+30\textdegree

According to question,

x+x+30\textdegree=90\textdegree\\\\2x+30\textdegree=90\textdegree\\\\2x=90\textdegree-30\textdegree\\\\2x=60\textdegree\\\\x=\frac{60\textdegree}{2}=30\textdegree

So, first angle be 30\textdegree

And second angle be

30\textdegree+30\textdegree=60\textdegree

So, our two are angles are

30\textdegree\ and\ 60\textdegree

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What is the area of triangle DEF?
FrozenT [24]

Answer:

A=2\sqrt{14}\ units^2

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

so

A=\sqrt{s(s-a)(s-b)(s-c)}

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

a=5\ units,b=6\ units,c=3\ units

<em>Find the semi-perimeter s </em>

s=\frac{5+6+3}{2}=7\ units

Find the area of triangle

A=\sqrt{7(7-5)(7-6)(7-3)}

A=\sqrt{7(2)(1)(4)}

A=\sqrt{56}\ units^2

simplify

A=2\sqrt{14}\ units^2

3 0
2 years ago
Need help on this pls
aliya0001 [1]
The answer to the question is A
4 0
2 years ago
Given: f(x) = 3x-7, g(x)=2x2 -3x+1, h(x)=4x+1, k(x) =-x2+3 Find: k(x) +g(x)​
Afina-wow [57]

Answer:

k(x) + g(x) = x² - 3x + 4

General Formulas and Concepts:

<u>Alg I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 7

g(x) = 2x² - 3x + 1

h(x) = 4x + 1

k(x) = -x² + 3

<u>Step 2: Find k(x) + g(x)</u>

  1. Substitute:                              k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
  2. Combine like terms (x²):        k(x) + g(x) = x² + 3 - 3x + 1
  3. Combine like terms (Z):         k(x) + g(x) = x² - 3x + 4
7 0
2 years ago
Through (4,-4) ; perpendicular to 6y=x-12
BARSIC [14]

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

                  6y = x - 12

                    y = 1/6(x) - 2

Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

                -4 = -6(4) + b

                 b = -4 + 6(4)

                 b = -4 + 24

                 b = 20

So the equation for the perpendicular line is y = -6x + 20

3 0
3 years ago
Which statements are true based on the diagram? <br> Check all that apply.
natulia [17]

Answer: where is statements

Step-by-step explanation:

6 0
3 years ago
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