In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.
In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:
80 + 2x = 180
Subtract 80 from both sides of the equation.
2x = 100
Divide both sides by 2.
x = 50
This means that angle F and angle H in ∆FDH both measure 50°.
Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.
First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.
**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**
In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:
Angle DHF + Angle DHG = 180°
50° + Angle DHG = 180°.
Angle DHG = 130°.
Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:
130 + 2x = 180
2x = 50
x = 25
The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.
Solution: 25°
Answer:
Water in container B will be at 6.own
Step-by-step explanation:
calculate the volume in cont. A
VoA=400×6
=2400cm cube
VoB=420ml
=420cm cube [1ml=1cm cube]
now add both volumes
V=2400+420
=2820cm cube
Now,
2820 cm cube in jar B so
2820=420×h
h=6.71
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
The expression can represent the value of x in terms of R, m, n and k after rearranging.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
Square both side:
16m² x n = R²k³
x = (R²k³)/(16m²n)
The above expression represents the value of x in terms of R, m, n and k.
Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.
Learn more about the expression here:
brainly.com/question/14083225
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Simply do 297500/350000 and you would get 85%
