"the right of citizens of the united states to vote shall not be denied or abridged by the united states or by any state on account of race, color, or previous condition of servitude."

- fifteenth amendment to the united states constitution

this amendment was created primarily for the purpose of
a) punishing southern states.

b) avoiding another civil war.
c) pardoning confederate veterans.
d) granting former slaves suffrage

D) Granting former slaves suffrage

Explanation:

The Fifteenth Amendment to the U.S. Constitution was one of the three amendments enacted after the American Civil War to ensure equality for black Americans, who had been harshly discriminated for decades.

This Amendment, ratified on 1870, was created primarily for the purpose of granting former slaves suffrage: It guarantees the right to vote of all U.S.'s male citizens (African Americans had already been considered citizens under the 14th Amendment), stating that this right will not be denied or abridged by the federal or the state government on account of race, color, or previous condition of servitude.

angle a = 40.6°

step-by-step explanation:

for any right angle triangle we know the pythagoras theorem reveals

hypotenuse² = height²+base²

by this formula we will calculate the length of hypotenuse

h² = 6²+7²

⇒ h =√36+49 = √85 = 9.22

now from the given triangle sin a = height/ hypotenuse

                                                sin a = 6/9.22 = 0.651

therefore

so angle a = 40.6°

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