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3 years ago

Solve the inequality 7x<5x-8

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4

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Find the surface area of the figure. Round to the nearest tenth if possible.

Cloud [144]

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

6 0

2 years ago

Which rectangle is an enlargement of a 5 by 6? (Look at image)

klemol [59]

Rectangle B because and enlargement is when the dimensions of a shape are dilated by the same scale factor. if you multiply 5 an d6 by 3 you get 15 and 18 which are the dimensions of rectangle B

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4 years ago

PLEASE HELP!!

den301095 [7]

Answer:

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5 0

3 years ago

Read 2 more answers

The ratio of Zoey's money to Andrew's money is 4:5. If Zoey has $28, how much do they have altogether?

quester [9]

Answer: 1. 63; 2. 84; 3. 104 4. 1:2

Step-by-step explanation: Since Zoey has $28, and the ratio is 4:5, we can multiply the ratio by 7 on both sides so that it is 28:35, giving $35 for andrew, and this $28+$35=$63. Since the ratio of red to white marbles has a sum of 10, but there are 120, we multiply the ratio by 120/10=12, to make the ratio applicable to the scenario, so 7 times 12 = 84 red marbles. Same way for the theater question, 195/15=13, so 8 times 13= 104, and so 104 people are boys. For the last question you can simply divide both sides by 5 (or think of it as a fraction, 5/10=1/2).

6 0

3 years ago

Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.

AleksandrR [38]

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, $TS = \frac{1}{2} QR$

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, $TU = \frac{1}{2} PR$

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

6 0

3 years ago