9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
Answer
The answer and procedures of the exercise are attached in the following archives.
Explanation
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
EF = 18 in. & m∠F = 134 °
Step-by-step explanation:
Hi there,
In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.
Therefore, EF is 18 inches because FG is 18 inches.
In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.
m∠E + m∠G + m∠F = 180°
23° + 23° + m∠F = 180°
46° + m∠F = 180°
m∠F = 134°
Hope this explanation helps you understand this problem. Cheers.
Answer:
B
Step-by-step explanation:
In the composition of <em>f</em><em> </em>and <em>g</em>, the equation is telling us to place the function <em>f</em> inside <em>g</em>. Observing in B that <em>f</em> is (x + 4), then this can be put in place of the x in 3x^2, making it 3(x + 4)^2 and finally the minus 5.
