Answer:
Equation 1 x=-16
Equation 2 m=-3
Step-by-step explanation:
Equation 1
3x-x=-24-6
2x=-32
x=-32/2
x=-16
Equation 2
-2m=16-10
-2m=6
m=6/-2
m=-3
Answer:
Therefore, HL theorem we will prove for Triangles Congruent.
Step-by-step explanation:
Given:
Label the Figure first, Such that
Angle ADB = 90 degrees,
angle ADC = 90 degrees, and
AB ≅ AC
To Prove:
ΔABD ≅ ΔACD by Hypotenuse Leg theorem
Proof:
In Δ ABD and Δ ACD
AB ≅ AC ……….{Hypotenuse are equal Given}
∠ADB ≅ ∠ADC ……….{Each angle measure is 90° given}
AD ≅ AD ……….{Reflexive Property or Common side}
Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved
Therefore, HL theorem we will prove for Triangles Congruent.
Answer:
1. -4(6)= -24
2.-21-8= -29
3. 121-4 =117
4. -6(5) =-30
5. -10(-9)= 90
6. (-5)7= -35
7. (-5)8= -40
8. -30(5)= -150
9. 20(-6)= -120
10. -14(6)= -84
11. (-13)2 = -26
12. –7(15) = -105
13. -3(4) = -12
14. 7(-3) = -21
15. 3(-3) = -9
16. -2(-10) = 20
17. (-5)(-3)(4) = 60
18. -3(-3)(4)= 36
19. -3(-5) = 15
20. 5(-3) = -15
21. 7(-5)(4) = -140
22. -2(-5)(-3)= -30
23. – 10(-3)=30
24. -21-3= -24
Explanation:
We have followed the rules in adding and subtracting negative as well as positive values on the number line.
When adding two negative values, the result is a negative value.
When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value
When multiplying two negative values, the result is a positive value
When multiplying one negative and one positive value, the result is a negative value
To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.
The answer is 13.5, hope this helps!
