<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer: C
Step-by-step explanation:
Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.
Answer:
La distancia de C con respecto a A es de 197.788 metros.
Step-by-step explanation:
A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:
(1)
Si sabemos que 
, 
y 
, entonces la longitud del segmento AC es:
La distancia de C con respecto a A es de 197.788 metros.
Rhombus, <span>opposite angles are congruent
One angle is 35 so the opposite angle will be 35 also.
Sum of interior angles in a rhombus equal 360
360 - 35 - 35 = 290
290/2 = 145 (The other two angles will be congruent)
Answer:
The remaining three angles will be 35</span>°<span>, 145</span>°<span>, 145</span>°<span>
</span>
To get they total number of the fraction, you first times the bottom, by the number one the side of the mixed number, and then add the top number to the answer. so for the first one, 3*4 = 12 + 1 = 13 so the answer is 13/3, for the next one, 5*1 = 5 + 2 = 7, so the answer is 7/5, and for the last one, 3*3 = 9 + 2 = 11, so the answer is 11/3 so if your to lazy to read this the answers are 1. 13/3 2. 7/5 3. 11/3
