Simplify the expression

Two of the corresponding angles and the included sides of two triangles are congruent.Which statement must be true regarding the

lys-0071 [83]

Answer:

1. The two triangles are ASA congruent

2. The two triangles are SAS congruent

6 0

3 years ago

Which equation represents a line that is perpendicular to the line whose equation is -2y=3x+7

notsponge [240]

Answer:

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = -3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)

8 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0

4 years ago

Put these numbers in order from greatest to least. 1 6/8,-10/25,-18/25,1

goldenfox [79]

$\textsf{Hey there!}$

$\textsf{Put these numbers in order from GREATEST to LEAST}$

$\bullet{\mathsf{ \ 1\dfrac{6}{8}}}$

$\bullet\mathsf{\ -\dfrac{10}{25}}$

$\bullet{\mathsf{\ -\dfrac{18}{25}}}$

$\bullet{\textsf{ 1}}$

$\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left}$ $\textsf{of 0)}$

$\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right}$ $\textsf{of 0)}$

$\textsf{Now we can answer your question}$

$\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}$

$\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}$

$\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}$

$\blacksquare \ \mathsf{1 = 1}$

$\textsf{Look carefully at the stuff converted to the decimal or regular number \& }$ $\textsf{you will have your answer from \underline{greatest} to \underline{least}}$

$\boxed{\textsf{If you solved correctly you SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\ -\dfrac{18}{25}}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

Mary bought 4 gallons of milk for $10.00. Jill bought 2.5 gallons for $6.00.

RoseWind [281]

Step-by-step explanation:

In order to find the better buy, we must find the cheaper unit price or price per gallon. To find the price per gallon, divide the cost by the number of gallons.

Mary

Mary bought 4 gallons for $11.

The price is $11 and the gallons are 4.

Jill

Jill bought 2.5 gallons for $7.25

The price is $7.25 and the gallons are 2.5

Better buy

Mary paid $2.75 per gallon and Jill paid $2.90 per gallon. 2.75 is less than 2.90, so Mary had the better buy.

3 0

2 years ago