Answer:
a) -8, -1
b) 18,64
Step-by-step explanation:
a)
-22 + 6 = -16
-16/2 = -8
-8 + 6 = -2
-2/2 = -1
b) do the opposite
248/ 4 = 62
62+2= 64
64/4 = 16
16+2 = 18
The answer to this is 73w
Answer:
The two triangles are similar by SAS postulate of similarity ⇒ A
Step-by-step explanation:
Let us revise the cases of similarity
- AAA similarity: two triangles are similar if all three angles in the first triangle equal the corresponding angle in the second triangle
- AA similarity: If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar.
- SSS similarity: If the corresponding sides of the two triangles are proportional, then the two triangles are similar.
- SAS similarity: In two triangles, if two sets of corresponding sides are proportional and the included angles are equal then the two triangles are similar.
In the given figure
∵ There are 2 triangles
∵ The ratio between 2 corresponding sides in the Δs is
∵ = 0.7
∵ The ratio between the other 2 corresponding sides in the Δs is
∵ = 0.7
→ That means 2 sets of corresponding sides have an equal ratio
∴ The 2 sets of corresponding sides are proportional
→ By using the parallel sides
∵ There are two parallel sides
∴ The angles between the sides 28, 42, and the sides 40, 60 equal
because they are corresponding angles
∴ The included angles are equal in measures
→ By using case 4 above
∴ The two triangles are similar by SAS postulate of similarity
Answer:
<h2>
TO FIND THE AREA OF A RECTANGLE, THAT IS L×B <em>O</em><em>R</em><em> </em>L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ. </h2>
<h2>
BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES. </h2>
<h2>
THAT IS : PIRSQUARED. PI×R×R. </h2><h2>
THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS <em><u>T</u></em><em><u>W</u></em><em><u>I</u></em><em><u>C</u></em><em><u>E</u></em><em><u> </u></em><em><u>T</u></em><em><u>H</u></em><em><u>E</u></em><em><u> </u></em><em><u>R</u></em><em><u>A</u></em><em><u>D</u></em><em><u>I</u></em><em><u>U</u></em><em><u>S</u></em><em><u>.</u></em><em><u> </u></em></h2><h2>
THAT IS : 90÷2 , THAT IS = 45. </h2>
SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :
<h2>
PIRSQUARED = PI × R×R </h2><h2>
3.14 × 45×45 OR 45SQUARED.</h2>
<h2>
THAT IS : 6,358.5 FT SQUARED. </h2>
<h2>
NOW 6,358.5FT SQ IS ONLY THE AREA OF <em><u>O</u></em><em><u>N</u></em><em><u>E</u></em><em><u> </u></em><em><u>S</u></em><em><u>E</u></em><em><u>M</u></em><em><u>I</u></em><em><u>C</u></em><em><u>I</u></em><em><u>R</u></em><em><u>C</u></em><em><u>L</u></em><em><u>E</u></em><em><u>.</u></em><em><u> </u></em> SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.</h2>
<h2>
WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.</h2>
YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.
= 26,217FT SQ.
<h2>
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Answer:
r = -25
Step-by-step explanation:
slope is change in "y" over change in "x"
so whatever your change in "x" is between the two points, the change in "y" needs to be in proportion to the slope of -3.
Here the change in "x" is +10, and to make the proportion of the slope equal to -3, the change in "y" needs to be -30.
Starting from the "y" coordinate of 5, a change in "y" of -30 will give you r = -25
So the two points are (-5, 5) and (5, -25)