Answer:
6m- 22
Step-by-step explanation:
Answer:
=2.4x-4.4
Step-by-step explanation:
did the test
0.3(4x-8)-0.5(-2.4x+4)
=1.2x-2.4-0.5(-2.4x+4)
=1.2x-2.4+1.2x-2
=2.4x-4.4
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²
9514 1404 393
Answer:
45°
Step-by-step explanation:
Arc YZ is the difference between the given arcs and 360°:
126° +144° +YZ = 360°
YZ = 360° -270° = 90°
The inscribed angle (?) is half the measure of the arc it intercepts:
? = 90°/2
? = 45°
Answer:
B and E
Step-by-step explanation:
✔️The triangle given has 3 unequal angles and 3 unequal side lengths. A scalene triangle has unequal angles and side lengths. Therefore, the triangle above is a scalene triangle.
✔️Each of the 3 angles of the triangle is less than 90°. An acute triangle has each of its 3 interior angles measuring less than 90°. Therefore the given triangle above is an acute triangle.
