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Sav [38]
3 years ago
10

Mark used 6428 blocks build a castle round the number of block to the nearest tens

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

6430

Step-by-step explanation:

round up your 1's digit to 10 and carry your one from the 10 over to the 2 in the tens place, you then add the 1 from the 10 to the 2 in the tens spot and that's how you get ur answer

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If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Rudik [331]

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

3 0
3 years ago
Determine whether the triangles are congruent by sss sas asa aas or hl
Blababa [14]
AAS.
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3 years ago
A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
3(6x+3) - (8-x) simplify
sergeinik [125]

Answer: <em>10 + 9 </em>

Step-by-step explanation:

<em>1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)</em>

<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>

<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8  = 18 + 9 - 8 </em>

4. Combine like terms: 18 + 9 - 8 = 10 + 9

<em>⋅</em>

<em />

                                         

4 0
3 years ago
X+2y=6 <br> SHOW ALL OF YOUR WORK!
Alika [10]

Answer:

x+2y=6

Subtract 2y from both sides.

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Step-by-step explanation:

x=6-2y

3 0
2 years ago
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