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3 years ago

Vertical angles are always adjacent. True False

Mathematics

2 answers:

Monica [59]3 years ago

4 0

Hello!

This is False. Vertical angles are directly across from one another, and have the same measurements. Complementary/Supplementary angles are always adjacent, with complementary angles totalling 90° and forming a right angle, and supplementary angles totalling 180° and forming a straight line.

Elis [28]3 years ago

4 0

False, vertical angles are always across from each other

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I need help on this please!!<br> #26

Mashutka [201]

Answer:

Area = 240

Step-by-step explanation:

The roof is 4 Isosceles triangles as two sides are the same and the base is different. The equation for area of an isosceles triangle is area = (1/2) · b · h.

Starting the equation, we know the height = 10 based on the graphic, but we need solve for the base using the information provided in the problem 25.

If the square gazebo is 48 ft around, then perimeter = 48. To find one side of the "SQUARE" gazebo, divide the perimeter by 4 to find one side having a length/base of 12.

We can assume that the base of the gazebo is the same length as the base of the roof, so the base is 12 as well.

Finishing the formula we have:

Area of 1 side of gazebo roof= (1/2) * b * h = (1/2) * 12 * 10 = 60

There are 4 sides to the roof, so multiply the Area of the one side by 4 to find the final result.

Area of full Gazebo roof = 60 * 4 = 240

6 0

1 year ago

you deposited 8500 dollars in a savings account that earns a simple interest rate what interest rate do you need to be paid if y

anzhelika [568]

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=5\ years\\ P=\$8,500\\ A=\$10,093.75\\r=?$

substitute in the formula above

$10,093.75=8,500*(1+r*5)$

solve for r

$5*r=(10,093.75/8,500)-1$

$r=0.0375$

$r=3.75\%$

therefore

<u>the answer is</u>

the rate of interest is $3.75\%$

3 0

3 years ago

Write an equation perpendicular to 4x + 8y = 3 and contain the point (5,7) in slope-intercept form

dimaraw [331]

Answer:

y=2x-3

Step-by-step explanation:

The slope-intercept form of the original equation would be y=3/8−x/2

Therefore, the slope of the perpendicular line would be m=2

Then, the y-intercept would be 7=(2)x(5)+a

A=-3

Answer:

y=2x+3

6 0

3 years ago

Hello, can someone help me with this problem?

exis [7]

Answer:

Area of Rectangle A

$Area = 4x^2$

Area of Rectangle B

$Area = 2x^2$

Fraction

$Fraction =\frac{2}{3}$

Step-by-step explanation:

From the attached, we understand that:

The dimension of rectangle A is 2x by 2x

The dimension of rectangle B is x by 2x

Area of rectangle is calculated as thus;

$Area = Length * Breadth$

Area of Rectangle A

$Area = 2x * 2x$

$Area = 4x^2$

Area of Rectangle B

$Area = x * 2x$

$Area = 2x^2$

Area of Big Rectangle

The largest rectangle is formed by merging the two rectangles together;

The dimension are 3x by 2x

The Area is as follows

$Area = 2x * 3x$

$Area = 6x^2$

The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;

$Fraction = \frac{Rectangle\ A}{Biggest}$

$Fraction =\frac{4x^2}{6x^2}$

Simplify

$Fraction =\frac{2x^2 * 2}{2x^2 * 3}$

$Fraction =\frac{2}{3}$

7 0

2 years ago

820 round to the nearest hundred

grandymaker [24]

Hello! Seeings 20 is less than 50, you then need to round down. If its over 50 then you round up! So if you have 14 its rounded to 10. And if you have 16 round it to 20. So 820 is rounded to 800.

4 0

3 years ago