Explain how you can solve 40x 14 by breaking apart the factors

Fed [463]

Answer: The missing statements are,

In first blank: ∠2≅∠1

In second blank: AC≅AC

In third blank: Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

Statement Reason

1.∠D and ∠B are right angles 1. Given

2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles

are equal

3. AC≅AC 3. Reflexive

4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem

6 0

3 years ago

In the equation y=-2x + 3, if x = 7, what does y equal

Ahat [919]

Answer:

-11

Step-by-step explanation:

-14+3=-11

7 0

3 years ago

State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x2 + 4

vagabundo [1.1K]

For this case we have the following function:

$f (x) = 7x ^ 2 + 4$

By definition, we have that a linear equation is of the form $y = mx + b$

On the other hand, a quadratic equation is of the form $y = ax ^ 2 + bx + c$

Then, the given equation is not a linear equation, it is not of the form $y = mx + b$

Answer:

No, the equation is not linear. It is not of the form $f (x) = mx + b.$

4 0

3 years ago

Read 2 more answers

Given that y is directly proportional to x^2 and that y=2 when x=3 find the value of y when x=6

Sergio039 [100]

Answer:y=4/3

y is directly proportional to x^2 is written as

$y \alpha {x}^{2}$ introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

$2 = {3}^{2} \times k$

2=9k . dividing through by 9 to get the value of k

 $\frac{2}{9} = \frac{9k}{9}$ 

 $k = \frac{2}{9}$ 

putting it in the general expression

 $y = \frac{2}{9} x$ 

the value of y when x=6

 $y = \frac{2}{9} \times 6$ 

 $y = \frac{4}{3}$ 

therefore the value of y when x=6 is

4/3

3 0

3 years ago

9. Select the value below that is between 0.5 and 0.65. * 0.055 3/4 6% 5/9

ehidna [41]

Answer:

0.5<

Step-by-step explanation:

5/10<5+65/10+100<65/100

=5/10<5+65/10+100<65/100

=1/2<1+13/2+20<13/20

=1/2<14/22<

8 0

3 years ago