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Brums [2.3K]
4 years ago
15

Find the measure of each acute angle in a right triangle where the measure of one acute angle is 3 times the sum of the measure

of the other acute angle and 8.
Mathematics
1 answer:
luda_lava [24]4 years ago
3 0
A right triangle has 1 90 degree angle and the interior angles must add to 180.

3(x+8)+x+90=180
3x+24+x+90=180
4x+114=180
4x=66
x= 16.5

Plug this value in to find the last angle
16.5+90+x=180
106.5+x=180
x=73.5

Final answer: 73.5 degrees and 16.5 degrees
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Translate the statement below into a mathematical expression:
slega [8]

Answer:

18-6=2+y

Step-by-step explanation:

18-6=2+y

5 0
3 years ago
Does anyone understand this?. I also have to show my work.
snow_lady [41]

Answer:

Ans A). The graph is shown.

Ans B). 18.3333 C temperature when F is 65 temperature

Ans C). 32 F when the line crosses the horizontal axis

Ans D). Slope of line C=\frac{5}{9}(F -32) is \frac{5}{9}

Step-by-step explanation:

Given equation is C=\frac{5}{9}(F -32)

Ans A).

For the table,

Take the four value of F as 32,41,50,59.

For F = 32.

The value of C is

C=\frac{5}{9}(F -32)

C=\frac{5}{9}(32 -32)

C=0.

For F = 41.

The value of C is

C=\frac{5}{9}(F -32)

C=\frac{5}{9}(41 -32)

C=05

For F = 50.

The value of C is

C=\frac{5}{9}(F -32)

C=\frac{5}{9}(50 -32)

C=10

For F = 59.

The value of C is

C=\frac{5}{9}(F -32)

C=\frac{5}{9}(32 -32)

C=15

<em>Note: The figure shows a graph of given equation with points.</em>

Ans B). Estimate temperature in C when the temperature in F is 65

For F = 65.

The value of C is

C=\frac{5}{9}(F -32)

C=\frac{5}{9}(32 -32)

<em>C=18.333333.</em>

Ans C). At what temperature, graph lien cross the horizontal axis

When the line crosses the horizontal axis, C=0

Therefore,

C=\frac{5}{9}(F -32)

0=\frac{5}{9}(F -32)

0=(F -32)

F=32 Temperature.

Ans D). Slope of the line C=\frac{5}{9}(F -32)

The slope of line is given by s= \frac{Y1-Y2}{X1-X2}

Take points from the table of answer A.

let (32,0) and (41,5) using for slope.

s= \frac{Y1-Y2}{X1-X2}

s= \frac{0-5}{32-41}

s= \frac{5}{9}

Slope of line C=\frac{5}{9}(F -32) is \frac{5}{9}

7 0
3 years ago
Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x
defon
An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3 
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>
5 0
3 years ago
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Rama09 [41]

Answer:

I think its C

Step-by-step explanation:

I guessed

5 0
3 years ago
Read 2 more answers
Manuel made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces
valentinak56 [21]

Answer:

2.3

Step-by-step explanation:

Step 1: Divide 30.50 by 5 to get that each necklaces costs 6.1.

Step 2: Subtract 6.1 (cost for 1 necklace) and 3.80 (price of beads)

Your answer is 2.3! Please mark this as brainliest

4 0
3 years ago
Read 2 more answers
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