MATHEMATICS HIGH SCHOOL

What is the measurement of STU?

Answers

Answer 1

Answer:

Triangles UTR and RTS are congruent, because they're both right triangles, RS=RU and side TR is in common.

This implies that angles RTS and RTU are congruent, and thus we have

$5w-69=w+3 \iff 4w=72 \iff w=(72)/(4)=18$

Finally, angle STU is the sum of RTS and RTU, which is the same as 2RTU, since they have the same measure. So, we have

$RTS+RTU=2RTU=2(w+3)=2w+6$

and since w=18, we have

$2w+6=2\cdot 18+6=36+6=42$

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The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?

Answers

Assets=liability+owners equity
(10000+150000+34000)=(108000+7000)+100000
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194000+21000=215000
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So the answer is 21000

Answer: C. $21,000

Step-by-step explanation:

edge 2021

What is the length of a segment with end points at (-3,4) and (4,4)? a. 1 b. 4 c. 7 d. 8

Answers

The length of a segment with end points (-3,4) and (4,4) is c. 7

During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour babysitting.you can work at most 25 hrs per week. -write a system of linear inequalities that models the situation-solve your system,and tell how many hours per week you would work babysitting
-if you work 10hrs per week on the farm and 12 hours per week babysitting,will you meet your goal?

Answers

x = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.

you can work only as a farmer 15 hours per week
10x+5y>=150 => 10 x >= 150- 5y :5 => 2x >=30-y => 30-2x <= y
x+y<= 25 =>
y>=30-2x
y<=25-x

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?(x – 9)2 + (y + 4)2 = 25
(x + 4)2 + (y – 9)2 = 25
(x – 9)2 + (y + 4)2 = 100
(x + 4)2 + (y – 9)2 = 100