Answer:
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and <u>vertical angles are congruent</u> meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are <u>vertical</u> to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles <u>40° and 4 are equal to 60°</u>, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
Answer:
-0.34772
Step-by-step explanation:
One way of doing this problem is to change the base from 5 to 10.
Use the change of base formula:
log x
log x = ------------
5 log 5
so:
log (4/7) log 4 - log 7
log (4/7) = --------------- = ---------------------
5 log 5 log 5
Note that "log x" above is the common logarithm of x and is to the base 10.
Continuing, we get:
0.60206 - 0.84510 -0.24304
---------------------------- = --------------------- = -0.34772 (This corresponds to
0.69897 0.69897 the second given
answer choice.)
Answer:
y= -2x-1
Step-by-step explanation:
slope intercept form is y= mx+b
m is the slope or rate
and b is the y intercept and it is where x is zero
to find the slope is rise of run or y/x so your answer is
a
Answer:
Step-by-step explanation:
Solving (1): The line equation in y intercept form;
Given
This is calculated using the following formula
Substitute values for m, x1 and y1
Open Bracket
Make y the subject
Solving (2): The line equation in y intercept form;
Given
This is calculated using the following formula
Substitute values for m, x1 and y1
Open Bracket
Make y the subject
Answer:
1) B. n ≥ 3
2)A. 5x – 9
Step-by-step explanation:
1)
If the least value of n is 3 then all the values of n must be greater or equal to 3
Thus the correct option is B :n ≥ 3
2)
Given:
Milo's age is 9 years less than 5 times Pearl's age
Pearl's age is x years
5 times Pearl's age= 5x
then milo's age= 5x-9
so the correct option is A. 5x – 9 !