Answer:
<h2>z = 27°</h2>
Because that angle is 30°.
it's nearest value is 27.
<em>- What two consecutive odd integers have a sum of 48</em>?
23 + 25 = 48
- <em>Two negative consecutive integers have a sum of -45. What are the integers?
</em>
<em />-22 + -23
- <em>The sum of two consecutive integers 75. What are the two integers?</em>
37 + 38 = 75
- <em>What <u>three</u> consecutive odd integers have a sum of 81?
</em>
<em />25 + 27 + 29 = 81
Hope I could help! Have a good one. I believe that is all of the unanswered questions. If I missed one, let me know!<em />
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
<h2><u /></h2><h2><u>Part 1</u></h2>
Four times a number added to 3 times a larger number is 31.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
<u>Correct answer choice for this equation:</u>
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
<h2><u>
Part 2 </u></h2>
Seven subtracted from the larger number is equal to twice the smaller number.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
<u>Correct answer choice for this equation:</u>
y = 2 x + 7
Answer:
24mm
Step-by-step explanation:
since it's a similar triangle, we solve;
EH/EG=DH/DG
EH=56mm;
EG=44.8mm;
DH=35mm;
DG=X+4.
Fix them,
56/44.8=35/x+4
cross multiply
56(x+4)=35×44.8
56x+224=1,568
collect the like term
56x=1,344
divide via by 56
56x/56=1344/56
x=24mm
Check/ verify
EH/EG=DH/DG
56/44.8=35/24+4
56/44.8=35/28
CROSS MULTIPLY OVER THE EQUAL SIGN.
56×28=35×44.8
1,568=1,568
THAT'S CORRECT.
