Answer:
176 grams of zinc.
Step-by-step explanation:
4/9 = x/396 where x = the number of grams of zinc.
Cross multiply:
9x = 4*396
x = 4*396/9
x = 176 grams.
Answer:
m < S = 40°
Step-by-step explanation:
According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The exterior angle is m < R = 140°. In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.
Given m < T = (8x + 4)°
m < S = (3x + 4)°
We can set up the following equality statement to solve for the value of x:
m < R = m < T + m < S
140° = (8x + 4)° + (3x + 4)°
Combine like terms:
140° = 11x + 8
Subtract 8 from both sides:
140° - 8 = 11x + 8 - 8
132° = 11x
Divide both sides by 11:
132°/11 = 11x/11
12 = x
Substitute the value of x into the equality statement to verify whether it is the correct value:
140° = (8x + 4)° + (3x + 4)°
140° = [8(12) + 4]° + [3(12) + 4]°
140° = (96 + 4)° + (36 + 4)°
140° = 100° + 40°
140° = 140° (True statement. Therefore, the correct value for x = 12).
Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°
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Answer:
$50.31
Step-by-step explanation:
9x5.59=50.31
An easy way to do it is take out the decimals and multiply. Then add the decimals by seeing how many places in 5.59 (2) and move the decimal 2 times on your answer.
Answer:
D.) QS ≅ NR
Step-by-step explanation:
Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)
Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.
Answer:
<h2>X = 66°</h2>
<u>Step-by-step explanation:</u>
ΔH + ΔJ + ΔK + ΔG = 360°
103° + 133° + 58° + X = 360°
294° + X = 360°
X = 360° - 294°
X = 66°
