iiwolfiexuni
29.07.2019 •
Mathematics
Asquare prism has a base with the length of 23 cm. what is the area, in square centimeters, of the base of the prism?
Solved
Show answers
More tips
- S Science and Technology Colliders: How They Work and Why They Matter...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Mathematics
- M Mathematics What s the interior angle of a regular octagon (eight sided shape) ? please help asap...
- M Mathematics (07.03 LC) Identify the factors of x2 - 8x - 20. (1 point) O (x + 4Nx - 5) O (x + 5)(x - 4) O (x - 10)(x + 2) O (x-2)(x + 10)...
- M Mathematics Con ocho frutas distintas, ¿cuántos jugos surtidos, como máximo, podríamos preparar si siempre agregamos las frutas en una misma proporción?...
- M Mathematics Solve the following system by substitution or elimination 2/3x + y = 14/3 4/5x - 3/4y = -10...
- M Mathematics Which question can be answered by solving the inequality 8 200 ?...
- M Mathematics X (2x + 5,000) is invested by Ritika in a scheme offering compound interest at 25% p.a., compounded anmally for 2 years gives an interest of (7x + 7,800). Find the value...
- M Mathematics a rally poster is a rectangle 48 inches wide, and 24 inches we want to cover the poster with glitter. the coverage of each tube o glitter is measured in square feet...
- M Mathematics Joe s New Car dealership lists the following prices for this year s models. $10,469, $12,895, $15,499, $17,999, $18,595, $21,245, $10,395, $14,985 What is the range in...
- M Mathematics The formula for the area of a square is A=s? where s represents the side length of a square. If the side length of the square is 5cm, what will be the area of the square?...
- M Mathematics Pleasee i need help with this! Is it mathematically possible to double the profits while still selling only 300 tickets? Write a model that can be used to determine the...
Ответ:
Ответ:
Explanation:
If the two lines that are shown in the figure: "line a" and "line b" ; are parallel;{ that is; if " a∥b " } :
{ that is; if " a∥b " } :
The following would be true:
1) "∠2 & ∠8 " would be equal; since they are "alternate exterior angles".
2) "∠1 & ∠7 " would be equal; since they are "alternate exterior angles".
3) "∠1 & ∠3" would be equal; since they are "vertical angles".
4) "∠5 & ∠7 would be equal; since they are "vertical angles".
5) "∠8 & ∠6 would be equal; since they are "vertical angles".
So, if " a∥b " ; then:
" m∠1 = m∠3 = m∠5 = m∠7 " .
and: " m∠2 = m∠4 = m∠6 = m∠8 " ;
and: " m∠6 + m∠3 = 180 " ;
since: "m∠3 = m∠7 " ;
and: "∠5 & ∠7" are "supplementary angles" ; which, by definition, add up to 180.
Also, look at "∠2 and ∠3" . These are "supplementary angles" , which, by definition, add up to 180.
We know that "m∠2 = m∠6" ; So: " m∠2 + m∠3 = m∠6 + m∠3 = 180 ".
Given "m∠3 + m∠6 = 180" ;
and given: "m∠3 = 2x + 15" ;
and given: "m∠6 = 3x + 10" ;
→ 2x + 15 + 3x + 10 = 180 ; Solve for "x" ;
→ 2x + 3x = 5x ;
→ 10 + 15 = 25 ;
→ 5x + 25 = 180 ;
Subtract "25" from each side of the equation:
→ 5x + 25 − 25 = 180 − 25 ;
to get:
→ 5x = 155 ;
Divide each side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 5x / 5 = 155 / 5 ;
to get:
→ " x = 31 " .