Answer:
56°, 84°, 40°
Step-by-step explanation:
The three angles of triangles have measures of 56°, (2x + 4)º, and xº.
We need to find the measures of the three angles of the triangle.
We know that, the sum of angles of triangle is equal to 180º. Using this property we get :
56°+ (2x + 4)º + xº =180º
Solving for x.
60 + 3x = 180
3x = 120
x = 40º
Other angle, = 2x+4
= 2(40)+4
= 80+4
= 84º
So, the measures of the three angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).
Answer:
The sum of 68 and 14 = 82
The product of 56 and 65 = 3640
The difference between 78 and 24 = 54
The quotient of 648 and 13 = 49.84
65 multiplied by 45 = 2925
Find the quotient of 230 and 5, then add 47 = 93
Subtract 43 and 12, then divide by 3 = 10.33
Find the product of 681 and 23, then subtract by 4 = 15659
Add 9 to the difference of 19 and 8 = 20
Multiply the sum of 87 and 16 by 13 = 1339
Subtract 56 from the product of 58 and 42 = 2380
Add 99 to the quotient of 850 and 10 = 184
Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
Answer:
If A and B are vertical angles, then they are congruent, so their measures are equal.
This means
(5x + 5)º = (4x + 29)º
5x + 5 = 4x + 29
x = 24
Then angle A has measure (5*24 + 5)º = 125º.
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the area of a triangle is 150cm^2, the formula would look like:
150=0.5b*h
So, if we were to solve for the base in terms of h, we'd simply divide both sides by 0.5b getting:
(150)/(0.5b)=h
which simplifies to
h=300b
