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3 years ago

Which of the following is a true statement about the rhombus shown

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, diagonals of a rhombus bisects at right angles.

$\therefore m\angle STP = 90\degree \\$

NARA [144]3 years ago

5 0

9514 1404 393

Answer:

D) m∠STP = 90°

Step-by-step explanation:

In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)

However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.

m∠STP = 90°

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Keith_Richards [23]

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3 years ago

What is the area of the polygon below

tamaranim1 [39]

Here is the working:
17x5+5x11
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3 years ago

Read 2 more answers

What is the solution to 2h + 8 > 3h - 6

Romashka [77]

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3 years ago

Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get

MrRa [10]

Answer:

$Ivy = 24$

Step-by-step explanation:

Given

$Dennis : Ivy = 7 : 4$

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

$Dennis : Ivy = 7 : 4$ and

$Dennis = 42$

Substitute 42 for Dennis in $Dennis : Ivy = 7 : 4$

$42 : Ivy = 7 : 4$

Convert to fraction

$\frac{42}{Ivy} = \frac{7}{4}$

Cross Multiply:

$Ivy * 7 = 42 * 4$

Divide through by 7

$\frac{Ivy * 7}{7} = \frac{42 * 4}{7}$

$Ivy = \frac{42 * 4}{7}$

$Ivy = 6* 4$

$Ivy = 24$

6 0

3 years ago

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

$\frac{h}{h'}=\frac{l}{l'}$

$\frac{12}{h'}=\frac{6}{1.5}$

$h'=\frac{12\times 1.5}{6}$

$h'=3$ ft

Hence, the height of fire hydrant=3 ft

3 0

3 years ago