Answer:
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Answer:
The length of TQ is 14.
Step-by-step explanation:
The length of SV and VS are the same.
4x - 1 = 15
4x = 16
x = 4
Similarly, the length of TS and TQ are the same.
3x + 2 = 3(4) + 12 = 14
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Answer:
810
Step-by-step explanation:
In this case the sample space would be the number of combinations that can be made with the numbers from 1 to 30 with the letters of the alphabet, from "a" to "z", for example:
A1, A22, C4, F9, etc
Now we know how many numbers are 30, now the alphabet has 27 letters, therefore, the number of combinations are:
27 * 30 = 810
Which means that the total number of results is 810.
Answer:
160 cm²
Step-by-step explanation:
V = 1/3 * 24 * 20 = 160 cm²