AB is bisected by CD (TRUE). This is True because E is the midpoint between A and B and CD passes through E
CD is bisected by AB (FALSE) CD is bisected by point F and not AB
AE = 1/2 * AB (TRUE) since E is the midpoint of AB , E divides AB into two equal halves
EF = 1/2 * ED (FALSE) The true statement would have been CF = 1/2* CD
FD = EB (FALSE) sinc we do not know if CD and AB are of the same lengths
CE + EF = ED (TRUE) since F is the midpoint the sum of CE and EF is equal to ED
The value of X would be 3.6 because if you divide the 4 by 2 to get the half triangle you now know the base and height for the triangle. Now you have to use tangent -1 to figure out the bottom right angle which is 56.3 degrees. Once you have the angle you can use Sin to figure out the missing side.
Answer:
what's your question I can't understand
Answer:
523.8 miles
Step-by-step explanation:
The drawing attached represents the question. We create a triangle with the distances from each pair of cities, and we call the distance from B to C by 'd'.
First, we need to find the angle BAC:
55° + BAC + 7° = 90°
BAC = 28°
Then, we can use the law of cosines to find the value of d:
d^2 = 470^2 + 890^2 - 2*470*890*cos(BAC)
d^2 = 470^2 + 890^2 - 2*470*890*0.8829
d^2 = 274365.86
d = 523.8 miles
Answer:
The measure of each angle is :
3x° = 33°
(5x+2)° =57°
Step-by-step explanation:
From the diagram, angle <ABC is a right-angle triangle with a measure of 90°
This means the sum of the two angles <ABE + <CBE =90°
Given from the question :
<ABE = 3x°
<CBE = (5x+2)°
For an equation for sum of the two angles as;
<ABE + <CBE =90°
3x° + (5x+2)° = 90° ------collect like terms after opening the brackets
3x° +5x° + 2° =90°
8x°=90°-2°
8x°=88°
x°=88°/8° = 11°
Measure of the angles will be:
<ABE = 3x° = 3*11° = 33°
<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°
Answers are :
3x° = 33°
(5x+2)° =57°