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Softa [21]
3 years ago
9

Help please I need this today

Mathematics
1 answer:
Katen [24]3 years ago
3 0
Triangles a are similar because they have the same degrees

And Triangles d are similar because they are the same shape
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To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. S
Volgvan
<span>Let t=time Doreen travels; let r=rate of Doreen

                RATE * TIME = DIST.
        Sue | r+13      t-3       105
   Doreen |   r           t          64
 
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
 
</span>r= \frac{64}{t} &#10;\\&#10;\\(\frac{64}{t} +13)(t-3)=105 &#10;\\&#10;\\64- \frac{192} {t}+13t-39-105=0&#10;\\&#10;\\13t- \frac{192} {t}-80=0&#10;\\&#10;\\ 13t^2-80t-192=0&#10;\\&#10;\\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26}  &#10;\\&#10;\\t=\frac{80+128}{26}  =8&#10;\\&#10;\\r=\frac{64}{t} =\frac{64}{8} =8<span>
             
Doreen: rate = 8 mph, time = 8 hours
Sue:  </span>rate = 21 mph, time = 5 hours<span>


</span>
8 0
3 years ago
An equation is shown below:
Ad libitum [116K]

Answer:

solution given:

4(2x − 5) = 4

2x-5=4/4

2x=1+5

x=6

Step-by-step explanation:

Part A:One

Part B:x=6

3 0
3 years ago
Solve 15x+3y=9,10x+7y=-4
TiliK225 [7]

Answer:

x = 1, y = -2

Step-by-step explanation:

15x + 3y = 9 (1)

10x + 7y = -4 (2)

3 × (2) - 2 × (1)

3 × (2)

30x + 21y = -12 (3)

2 × (1)

30x + 6y = 18 (4)

(3) - (4)

15y = -30

y = -30 / 15

y = -2

sub y = -2 into (1)

15x + 3y = 9

15x + (3 × -2) = 9

15x - 6 = 9

15x = 9 + 6

15x = 15

x = 15 / 15

x = 1

4 0
4 years ago
if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​
Lubov Fominskaja [6]

Answer:

Supplementary Angle's Theorem

Step-by-step explanation:

The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.

7 0
3 years ago
Simplify: 3 . 3^2 + 8 ÷ 2 - (4 + 3) A: 32 B: 24 C: 23 D: 30
yaroslaw [1]

Answer:

its none of these answers ;-;

Step-by-step explanation:

3^2 + 8 ÷ 2 - (4 + 3)

we do what's in parentheses first. (pemdas)

so now we have, 3^2 + 8 ÷ 2 - 7

next exponents, 3^2=9

9 + 8 ÷ 2 - 7

next division, 8÷2=4

9 + 4 - 7

next addition, 9+4=13

13-7

finally subtraction, 13-7=6

final answer: 6

7 0
4 years ago
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