The sum of the interior angles of all triangles is 180 degrees. This is a right triangle, thus we know two interior angle values (90 degrees and 29 degrees). To find the third, set the sum of all interior angle values equal to 180 and solve for g.
180 = 90 + 29 + g
Collect like terms.
180 = 119 + g
Subtract 119 from both sides.
61 = g
Find the sum using 61 for g to check work.
180 = 90 + 29 + g
180 = 90 + 29 + 61
180 = 180
Answer:
m∠g = 61°
Answer:
Hope this helps
Step-by-step explanation:
Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
> How many stamps did Mark have at first?
We know that Lisa has 1750 stamps and Mark has 480 fewer
than this, therefore subtract 480 from 1750 to get the number of stamps that
Mark had at first:
1750 – 480 = 1270 stamps
> How many stamps does Lisa have now?
Let us say that x = the number of stamps that Lisa gave
to Mark, therefore we can create the equation:
Mark = 3 * Lisa
480 + x = 3 (1750 – x)
480 + x = 5250 – 3x
4x = 4770
x = 1,192.50 stamps
So Lisa has now left with:
1750 – 1192.50 = 557.5 stamps ~ 557 stamps or 558
Answer:
Step-by-step explanation:
the Lincoln-Douglas debates propelled Lincoln's political career into the national spotlight, while simultaneously stifling Douglas' career, and foreshadowing the 1860 Election. By 1858, Stephen A. Douglas was the most prominent politician in the West. Lincoln-Douglas debates, series of seven debates between the Democratic senator Stephen A. Douglas and Republican challenger Abraham Lincoln during the 1858 Illinois senatorial campaign, largely concerning the issue of slavery extension into the territories. The result of the debates was inconclusive. Senators were then chosen by state legislatures, and in the 1858 legislative election, Illinois Republican candidates slightly outpolled their Democratic rivals. Southerners believed that Abraham Lincoln was an abolitionist and also felt betrayed by Stephen Douglas's suggestion that territories could refuse to grant slavery legal protection. In 1860, Lincoln won the Republican Party's presidential nomination.In that election, he faced Douglas (again), who represented the Northern faction of a heavily divided Democratic Party, as well as Southern Democrat John C. Breckinridge and Constitutional Union candidate John Bell.
