Answer:
True
Step-by-step explanation:
Here, we want to check if the given equation does not intersect the x-axis
if it does not, then it has no real root
If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis
The formula for the discriminant is;
D = b^2-4ac
In the question;
a = -1 , b = 6 , c = 10
so;
D = 6^2-4(-1)(10)
D = 36-40
D = -4
Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
-
ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
-
ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
Since only 2 sides are equal (not 3), this is an "isosceles triangle."
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of interior angles of a triangle is 180°.
Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°
Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)
= 35°
Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,
Both the triangles will be similar by AA property of similarity.
Answer:
Mean = 90, Median = 93, Mode = 90, Range = 6
Step-by-step explanation:
Mean:
96 + 90 + 94 + 93 + 90 = 463
463 ÷ 5 = 92.5
92.5 to nearest tenth = 90
Mean = 90
Median:
<em>90, 90</em>, <u>93</u>, <em>94 ,96</em>
Median = 93
Mode
<em>96, </em><u>90</u><em>, 94, 93, </em><u>90</u><em> </em>
Mode = 90
Range:
96 - 90 = 6
Range = 6
