Answer:
Step-by-step explanation:
or 
If it is the former then first we will divide 10 by 3.
You get 3.333333
From there you will add 7 to that. You get 10.333333
If it is the latter then the answer is 1.
I know this because, you will first want to add 3 and 7. You get, 10.
Then you divide 10 by 10. Now you get 1.
Thus, the answer is 1.
<em>Hope this helped! :)</em>
Answer:
Reflection.
Step-by-step explanation:
Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.
On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.
At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.
Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.
<em>Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection. </em>
Answer:
54 ft^2
(54 in green box; 2 in grey box)
Step-by-step explanation:
We have 2 similar triangles, ABC and DEF.
The area of triangle DEF is given as 6 sq ft.
Side BC of triangle ABC measures 12 ft.
The corresponding side to BC in triangle DEF is EF. It measures 4 ft.
That gives us a scale factor from triangle DEF to triangle ABC.
<em>To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.</em>
scale factor = BC/EF = (12 ft)/(4 ft) = 3
The scale factor of side lengths is 3.
The ratio of the areas is the square of the scale factor.
ratio of areas = 3^2 = 9
Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).
area of triangle ABC = 9 * (area of triangle DEF)
area of triangle ABC = 9 * (6 sq ft)
area of triangle ABC = 54 sq ft
Answer: 54 ft^2
(54 in green box; 2 in grey box)
Answer:
Désolé, mon français est terrible, je vais donc utiliser traduction automatique ici.
x est approximativement égal à 0.906 et -1.656
Step-by-step explanation:
x + (2x + 3) + 4x² - 9 = 0
4x² + x + 2x + 3 - 9 = 0
4x² + 3x - 6 = 0
Nous ne pouvons pas prendre en compte cela, nous allons donc passer par la résolution de x à la place.
Commençons par compléter le carré:
4x² + 3x = 6
4x² + 3x + 9 / 16 = 6 + 9 / 16
(2x + 3/4)² = 96 / 16 + 9 / 16
(2x + 3/4)² = 105 / 16
2x + 3/4 = ± √105 / 4
2x = -3/4 ± √105 / 4
2x = (-3 ± √105) / 4
x = (-3 ± √105) / 8
x ≈ 0.906, -1.656
Answer: 125
Step-by-step explanation: