Answer:
If we look at ΔBDH, we notice that m∠BHG has to be 108 - 36 - 39 = 105°. Because x and ∠BHG are a linear pair we know that x = 180 - ∠BHG = 180 - 105 = 75°.
Answer:
1850
Step-by-step explanation:
The problem is asking you how many kids (predicted by the superintendent) will buy lunches for 1-2 days. Since you know the percentage predicted and the student amount, just multiply as a decimal (convert by putting the number over 100 as a fraction.)
5000*0.37=1850
Sum of interior angles of a △ = 180°
∴ ∠T + ∠V + ∠U = 180°
⇒ 37° + 63° + X° = 180°
⇒ X° + 100 = 180°
⇒ X° = 180° - 100°
⇒ X° = 80° (D).
<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>