The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46

In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides AB and BC respectively. The f

svetlana [45]

Answer:

1. ∠B ≅ ∠B

2. Reflexive Property of Equality

Step-by-step explanation:

Corresponding sides are shown proportional in the top path.

In order to invoke SAS, corresponding angles must be shown congruent in the bottom path. Angle B is the the angle of interest in each of the relevant triangles, so it must be shown congruent to itself. The appropriate choice is ...

∠B ≅ ∠B
Reflexive Property of Equality

7 0

3 years ago

Y=2x+1 x−y=−3 Is (2,5) a solution of the system?

GuDViN [60]

Sorry i am not now sorry

8 0

2 years ago

Give the answer and explanation/ equation.

aleksley [76]

Alright, so the unknown value here we want to know is the price of one roll of TP. Let's call it "x".
36x=14.99
Divide both sides by 36 to get the price of a single roll.
x=.41638888....
We have to round this to hundredths because we're talking in cents, so...
x=.42
Each roll of toilet paper costs 42 cents.

4 0

2 years ago

Find the equation of the line that

Aleonysh [2.5K]

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

$\displaystyle \large{m_1m_2 = - 1}$

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

$\displaystyle \large{ - \frac{2}{3} m_2 = - 1}$

Multiply both sides by 3.

$\displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }$

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

$\displaystyle \large{y = mx + b}$

where m = slope and b = y-intercept; substitute m = 3/2 in.

$\displaystyle \large{y = \frac{3}{2} x + b}$

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

$\displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}$

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

$\displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}$

4 0

2 years ago

How many pounds of coffee Worth

Firdavs [7]

Answer:

the number of pounds that should be mixed is 30 pounds

Step-by-step explanation:

The computation of the number of pounds that must be mixed is shown below:

Let us assume the number of pounds be x

Now the equation is

(x) (1) + (15) (1.60) = (x + 15) (1.20)

x + 24 = 1.20x + 18

24 - 18 = 1.20x - x

6 = 0.20x

x = 30 pounds

Hence, the number of pounds that should be mixed is 30 pounds

5 0

2 years ago