48
+14
-------
62
If you need more work:
Ones place: 8+4=12
Tens place: 40+10=50
Add up: 50+12=62
Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first
flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour
baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder
salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt
butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter
sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar
eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs
vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract
milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk
for 25 servings
she needs
3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
Assume ladder length is 14 ft and that the top end of the ladder is 5 feet above the ground.
Find the distance the bottom of the ladder is from the base of the wall.
Picture a right triangle with hypotenuse 14 feet and that the side opposite the angle is h. Then sin theta = h / 14, or theta = arcsin 5/14. theta is
0.365 radian. Then the dist. of the bot. of the lad. from the base of the wall is
14cos theta = 14cos 0.365 rad = 13.08 feet. This does not seem reasonable; the ladder would fall if it were already that close to the ground.
Ensure that y ou have copied this problem accurately from the original.
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2
