Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
a^2+b^2=c^2 look below
Step-by-step explanation:
Count the squares so
3^2+4^2=5^2
3*3=9
4*4=16
5*5=25
9+16=25 and it does check out
this should help if u need more explanation ill be more then happy to explain to you
Answer:
The probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur = 0.375
Step-by-step explanation:
The probability of event A occurring = 50% = 0.5
The probability of event B occurring = 25% = 0.25
Events A and B are non simultaneous events.
The probability of event B does not occur = 1 - P(B)
= 1- 0.25
= 0.75
So the probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur
= 0.5*0.75
= 0.375
Thank you.
Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
Answer:
First Picture: 2032*93 = 188976, 425/25 = 17
Second Picture: the machine is dividing the number by 6
Third picture: 85
Step-by-step explanation:
Second Picture: 36/6 = 6 and 54/9 = 6 therefore the machine is dividing by six
Third Picture: a multiple of 7 is 84 (7*12 = 84). 85 is one more than a multiple of 7. Therefore 85 is the answer. A formula can be 7x + 1 = (then try out different numbers in the grid)
7x+1 = 85
7x = 84
x = 84/7
x = 12
Therefore 85 is one more than a multiple of 7.
