Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial
. We can now use the quadratic formula to solve.
Remember that the quadratic formula is

Substitute the numbers from the equation into the formula.

Simplify:


Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with
.
Hope this helps!
Answer:
The enlarged height of the photo must be 682 inches
Step-by-step explanation:
A customer wants to enlarge the image by 22 times
Hence, the scale factor = +22
Now, the current height of the photo = 31 inches
Therefore, to find the enlarged height : we need to multiply the scale factor of the required image by the current height of the photo.
Hence, Enlarged Height = 22 × 31
= 682 inches
So, The enlarged height of the photo must be 682 inches
Step-by-step explanation:
In my opinion I would say about 40% Because you can see 7 red balls on the top and 6 on the bottom. Hope This Helps.
Answer:
$440,000
Step-by-step explanation:
Direct material:
= $195,000 - $30,000
= $165,000
Direct labor:
= $150,000 - $40,000
= $110,000
Manufacturing overhead:
150% of direct labor cost.
= $110,000 x 150 ÷ 100
= $16,500,000 ÷ 100
= $165,000
Total manufacturing costs:
= $165,000 + $110,000 + $165,000
= $275,000 + $165,000
= $440,000
The total manufacturing costs added during the period is: <u>$440,000</u>