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3 years ago

Find m∠D m∠D= greatly appreciate if done asap:)

Mathematics

1 answer:

Eddi Din [679]3 years ago

3 0

Should be 25 since triangle are 180 degrees

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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

3 years ago

Macy wants to know if the number of words on a page in her grammar book is generally more than the number of words on a page in

dybincka [34]

yes, because there is a lot of variability in the grammar book data.

6 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept

yuradex [85]

Answer:

y=4/3x-5.

y=-5x+1

4 0

2 years ago

Describe and correct the error made in finding the product. Please explain what's wrong

qaws [65]

Okay, it's wrong because they forgot to do -2 times 3x.
The correct answer is $3^{2}$ -2x-8
Hope i got is correct!

5 0

3 years ago

If x-y=1 and xy= 56 then find the value of x+y

tester [92]

Answer:

x + y = ±15

Step-by-step explanation:

Step 1: Write out systems of equations

x - y = 1

xy = 56

Step 2: Rearrange 1st equation

x = y + 1

Step 3: Substitution

(y + 1)y = 56

Step 4: Distribute

y² + y = 56

Step 5: Solve for y

y² + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7

Step 6: Plug in y to find x

x - 7 = 1

x = 8

x - (-8) = 1

x + 8 = 1

x = -7

Step 7: Find answer

x + y = ?

8 + 7 = 15

-7 + -8 = -15

So both 15 and -15 could be the answer.

3 0

3 years ago

Read 2 more answers