Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
Hope this helps! Comment below for more questions.
Answer:
The answer is definitely C
Step-by-step explanation:
Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.
ur wlcm :)
correct me if im wrong
brainliest please?
Answer:
5.806 × 10³
Step-by-step explanation:
Put a decimal point to the right of the left-most digit: 5.806. Now multiply by the place value of that digit.
5.806 × 10³
___
The 5 is in the "thousands" place. Of course a "thousand" is 1000 = 10·10·10 = 10³. The place value multiplier (1000 or 10³) is written using the exponent when we write scientific notation.
Answer:
Question 957121: By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
If the numerator is decreased by 30% and its denominator is decreased by 50% the new fraction becomes (0.7x/0.5y)=1.4(x/y)
The increase=(1.4-1)*100=0.4*100=40%
Step-by-step explanation:
Answer:
The measure of angle A is: m∠A = 96
Therefore, option A is true.
Step-by-step explanation:
Given
m∠C = 3x
m∠D = x+52
We know that the opposite angles of a parallelogram are also equal.
Determining m∠A
It is clear that A is the opposite angle of C.
i.e.
m∠A = m∠C
as m∠C = 3x
so m∠A = 3x
Determining m∠B
It is also clear that B is the opposite angle of D.
i.e.
m∠B = m∠D
as m∠D = x+52
so m∠B = x+52
We know that the sum of the angles of a parallelogram is 360°.
so
m∠A + m∠B + m∠C + m∠D = 360°
3x + (x+52) + 3x + (x+52) = 360°
Group like terms
Subtract 104 on both sides
Simplify
Divide both sides by 8
Simplify
Thus,
The measure of the angle A is:
m∠A = 3x
substitute x = 32
m∠A = 3(32)
m∠A = 96
Hence, the measure of angle A is: m∠A = 96
Therefore, option A is true.