Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Answer:
X= 50°
Y= 70°
Z= 30°
BDE= 30°
2BDE= 60°
Step-by-step explanation:
(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)
2x -70 = BDE... alternate angles
Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)
X-20 = z ... alternate and opposite angles
(2x -70 )+z+(2x-+20)=180
2x-70 + x-20 +2x +20= 180
5x -70= 180
5x = 250
X= 50°
X-20 = z
50-20= z
30° = z
2x -70 = BDE
2(50) -70 = BDE
100-70 = BDE
30°= BDE
Y + (2x-70)+(50+x-20)
Y + 100-70 +50 +50 -20 = 180
Y + 200-90=180
Y= 70°
2BDE = 2*30
2BDE= 60°
Answer:
x = 76.58°
Step-by-step explanation:
hyp = 13.41
tan = opp/adj
tan = 1/2 = 26.57
x = 76.58
Answer:
4. No
5. No
6. No
7. No
8. No
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135
Step-by-step explanation:
4. 12 : 25 and 6 : 13 are NOT equal. NO.
5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO
6. 37 : 115 and 296 : 966 = 148 : 483. NOT equal. NO
7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.
8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135
Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
