Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
e ADE is 28°.
The flow chart with missing statements and reasons proves that the measure of angle ECB is 62°.
Which statement and reason can be used to fill in the numbered blank spaces?
Base angle theorem
Corresponding angle are congruent
Measure of angle AED is 28°.
Alternate interior angles are congruent
Base angle theorem
Measure of angle AED is 62°.
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 28°.>> my answer?
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 62°.
The flow chart with missing statements and reasons proves that the measure of angle ECB is 62°.
Which statement and reason can be used to fill in the numbered blank spaces?
Base angle theorem
Corresponding angle are congruent
Measure of angle AED is 28°.
Alternate interior angles are congruent
Base angle theorem
Measure of angle AED is 62°.
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 28°.>> my answer?
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 62°.
2 answers:
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<h2>Hello!</h2>
The answer is:
The correct option is:
A) Jeff, 4.5 hours; Julia 9 hours.
<h2>Why?</h2>To solve the problem, we need to write two equations using the given information.
So, writing the first equation we have:
We know that Jeff can weed the garden twice as fas as his sister Julia, so:
Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:
Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:
We have that Julia could weed the garden by herself in 9 hours.
So, calculating how long will it take to Jeff, we have:
We have that Jeff could weed the same garden by himself in 4.5 hours.
Hence, the correct option is:
A) Jeff, 4.5 hours; Julia 9 hours.
Have a nice day!
Answer: 2 eqautions and 2 variables
Step-by-step explanation: To solve linear systems, the equations can be represented by an augmented matrix.
To create one, each row represents the coeficients and constants (the numbers after the equal sign) from one equation and each column exhibit all the coeficients for a single variable. This means that the first column of an augmented matrix is for the coeficients of the x-terms, the second for the coeficients of the y-terms, the third column for the z-terms and so on.
For this question:
A = or it can be written as
x + ky = 2
-5x + 6y = 1
Thus, the system has 2 equations and 2 variables.